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Math · Grade 4 Math

Chapter 3: Division and Remainders

Dividing by One Digit

Share the biggest units first.

Lesson
1
Time
About 15 minutes
0 of 7 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Share out the biggest units first: hundreds, then tens, then ones.

An example

486 ÷ 3. Share 4 hundreds among 3: one each, with 1 hundred left over.

The leftover joins the next unit

That leftover hundred becomes 10 tens, joining the 8 tens to make 18 tens.

18 tens shared among 3 is 6 tens. Then 6 ones shared among 3 is 2. The answer is 162.

Share out the biggest units first

To do 936 ÷ 4, share the hundreds first: 9 hundreds shared 4 ways gives 2 hundreds each with 1 hundred left. Trade that hundred for 10 tens, making 13 tens. Share those: 3 tens each with 1 ten left. Trade for 10 ones, making 16 ones. Share: 4 each. Answer: 234.

Why division starts on the left

Addition, subtraction and multiplication all start at the ones. Division starts at the largest place, because leftovers travel rightwards — an undivided hundred becomes tens, which becomes ones. The direction follows the direction the leftovers move.

Estimate the answer's size first

936 ÷ 4 is roughly 900 ÷ 4, a bit over 200. Knowing the answer has three digits before you start tells you immediately if you have dropped one. A missing digit in a quotient is easy to make and hard to notice.

Check by multiplying

234 × 4 = 936, so the division is right. Multiplication is the natural check for division, exactly as addition is for subtraction. Build the habit now, because the divisions get longer from here.

Step 2: Try It Yourself

Tap and try it out.

Break a hundred into tens when it will not share evenly.

Hundreds

4

Tens

8

Ones

6

4 hundreds, 8 tens and 6 ones is 486.

Step 3: Watch an Example

One step at a time.

Watch Leo Share 486 Among 3

Leo divides 486 by 3.

  1. Step 1

    He shares the 4 hundreds: one each, with 1 hundred left.

Step 4: Your Turn

Practice makes it stick.

The Share Out

Problem 1 of 2

936 stickers shared equally among 4 children. How many each?

stickers

The Boxes

Problem 2 of 2

855 pens go equally into 5 boxes. How many per box?

pens

Share the Units

1 of 3

672 ÷ 3 = ?

2 of 3

824 ÷ 4 = ?

3 of 3

954 ÷ 6 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

738 ÷ 6 = ?

Question 2 of 2

Which units do you share first?

What You Learned

  • Share the biggest units first.
  • Break a leftover into the next unit down.
  • Then carry on sharing.