How to explain dividing decimals: say it in tenths, then check by multiplying

By 15Q20M Editorial · Last updated November 2, 2026

Explain dividing decimals as whole-number division with a place value name. For 4.8 ÷ 6, say "48 tenths divided by 6 is 8 tenths," which is 0.8. When the divisor is a whole number, the decimal point in the answer goes straight above the one in the number being divided. Then multiply back to check: 6 × 0.8 = 4.8.

Why does my child put the decimal point in the wrong place?

Your child divides 8.4 by 6 and writes 12, or 0.12, or 1.02. Those are three of the four choices on Day 32, Question 5 of our Grade 5 workbook, and the right one is 1.4. A Grade 6 problem shows the same slip a year later: a student says 15.2 ÷ 8 = 2.1, and the correct quotient is 1.9 (Grade 6, Day 21, Question 6).

84 ÷ 6 = 14 is 4th grade division, so the digits usually come out right. The trouble is the size of the answer: where the point lands, or a step that gets skipped. So most of this guide is about place value and checking, and only a little is about the steps of long division.

How do you explain dividing a decimal by a whole number?

Start by saying the decimal as a count. "Four point eight" is a name; "48 tenths" is an amount your child can divide. Day 20, Question 3 of our Grade 5 workbook asks for 4.8 ÷ 6. Read each line in the left column and wait for your child's answer before moving on.

Money works well for hundredths. Day 20, Question 12 has three friends splitting a $7.44 bill. Say it in cents: 744 cents ÷ 3 = 248 cents, which is $2.48 each. The Eureka Math parent tip sheet for this topic uses the same kind of unit language, for example 1.4 ÷ 2 = 14 tenths ÷ 2 = 7 tenths.

Where does the decimal point go when you divide decimals?

When the divisor is a whole number, the point in the answer goes straight above the point in the number being divided. Write it there first, before any digits, then divide as if the point were not there. Here is Day 20, Question 5, 5.04 ÷ 6:

1. Write the decimal point in the answer space, right above the one in 5.04.
2. 6 does not go into 5, so write 0 in the ones place.
3. Bring down the 0 to make 50. 6 goes into 50 eight times (48), with 2 left. Write 8 in the tenths place.
4. Bring down the 4 to make 24. 24 ÷ 6 = 4. Write 4 in the hundredths place.
5. The answer is 0.84. Multiply back: 6 × 0.84 = 5.04.

Before any of those steps, ask for an estimate. Grade 6, Day 21, Question 8 shares 8.4 liters of juice among 7 glasses and asks whether "about 1 liter" makes sense. It does: 8.4 ÷ 7 is close to 7 ÷ 7 = 1, and the exact answer is 1.2. The same habit settles the Day 32 problem. 8.4 is between 6 and 12, so 8.4 ÷ 6 must be between 1 and 2. That rules out 12, 0.12, and 1.02 before any long division.

What do you do with a remainder when dividing decimals?

In 4th grade, 9 ÷ 4 was 2 remainder 1. In 5th grade, your child keeps going. Day 20, Question 10 asks what to do after getting 2 R1. The right choice is to write 2 and a decimal point, bring down a 0 to make 10, and divide 10 ÷ 4. One wrong choice says to write 2.1 "because the remainder is 1."

The zero does not change the amount: 9 and 9.00 are the same number. It only lets your child split the leftover into tenths, then hundredths, so 9 ÷ 4 = 2.25. Money makes it concrete. On Day 21, Question 13, 4 kids share $15, and each gets $3.75. Some take a few rounds. Day 21, Question 7 asks how many decimal places 13 ÷ 8 needs, and the answer is three: 1.625.

How do you explain dividing by a decimal?

Switch to the other meaning of division: how many fit? Day 22, Question 6 of our Grade 5 workbook says flour comes in 2.5 kg bags and you need 7.5 kg. The operation that finds the number of bags is 7.5 ÷ 2.5, and 3 bags fit. The Illustrative Mathematics family materials for Grade 5 show this kind of division on a grid: 4 ÷ 0.2 = 20, because there are 20 groups of 2 tenths in 4 wholes.

Many classrooms then teach a shortcut: multiply both numbers by the same power of 10 until the divisor is a whole number. Grade 6, Day 29, Question 15 pours 2.4 liters into cups that hold 0.2 liter each. Multiply both numbers by 10 and it becomes 24 ÷ 2 = 12 cups. The answer stays the same because both amounts grew by the same factor. If your child asks why 12 is bigger than 2.4, our guide to why decimals are hard in 5th grade answers that question.

Why decimals are so hard in 5th grade, including why dividing by a decimal can make a number bigger

What mistakes do kids make dividing decimals?

Each row is a wrong answer from a real workbook problem. The middle column is a likely cause, since a written answer shows the slip but not the thinking behind it.

The last column is the habit to build. Multiplying back takes a few seconds and catches every row in this table, including the 15.2 ÷ 8 row, where the wrong answer looks about the right size.

Is it normal for a 5th grader to struggle with dividing decimals?

Yes, especially in the first weeks. The standard asks 5th graders to divide decimals to hundredths with models, drawings, and place value strategies, and to explain their reasoning. Fluent use of the standard algorithm is a 6th grade expectation. If your child misplaces the point but fixes it after an estimate or a multiply-back check, that is the skill being learned.

When is it worth more practice?

Look closer if one of these keeps happening:

• Your child cannot say 0.36 as 36 hundredths or 4.8 as 48 tenths. Division by place value depends on that.
• The point still lands in the wrong place after an estimate shows the answer is the wrong size.
• Remainders still end the problem: 2 R1 instead of 2.25.
• Whole-number division itself is slow or shaky, like 50 ÷ 6. Our guide to explaining long division starts there.

What can you try with your child tonight?

1. Write 1.44 ÷ 4 and ask your child to read 1.44 as hundredths before dividing: 144 hundredths ÷ 4 = 36 hundredths, or 0.36 (Grade 5, Day 20, Q4).
2. Split a real amount of money, like $7.44 among 3 people. Count it in cents first.
3. Before solving 8.4 ÷ 6, ask: is the answer closer to 1, 10, or 100?
4. Give one wrong answer (8.4 ÷ 4 = 2.4) and ask your child to prove it wrong by multiplying back.

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