Long Division of Numbers With Remainders

Practice Unlimited Questions

1. Falaq and Zara had 6 roses. They divided the roses equally between them.

a) How many roses did each girl receive?
b) How many roses were left?

dividing numbers by grouping
a) 6  ÷  2  =  ?
6 ones  ÷  2  =  3 ones with no remainder.
Each girl received 3 roses.

step-by-step division
b) There were no roses left.

2. 3 friends shared 14 buttons equally among themselves.

a) How many buttons did each friend get?
b) How many buttons were left?

dividing numbers using the model method
step-by-step division
a) 14 ones  ÷  3  =  4 ones with a remainder of 2 ones. Each friend got 4 buttons.

b) 2 buttons were left.

3. Mrs. Lee baked 48 muffins. She divided the muffins equally among 4 children. How many muffins did each child receive?

model method to show division
Step 1: Divide the tens by 4.
step-by-step division, third grade math
step-by-step division
4 tens  ÷  4  =  1 ten
Step 2: Divide the ones by 4.
step-by-step division, third grade math
step-by-step division
8 ones  ÷  4  =  2 ones
Each child received 12 muffins.

4. A fruiterer had 77 apples. He packed them equally into 3 baskets.
a) How many apples were there in each basket?
b) How many apples were left?

model method to show division
Step 1a: Divide the tens by 3.
step-by-step division, third grade math
step-by-step division
7 tens  ÷  3  =  2 tens with a remainder of 1 ten
Step 1b: Regroup the remainder tens.
step-by-step division, third grade math
step-by-step division
1 ten  =  10 ones

Add the ones.
10 ones  +  7 ones  =  17 ones
Step 2: Divide the ones by 3.
step-by-step division, third grade math
step-by-step division
17 ones  ÷  3  =  5 ones with a remainder of 2 ones
So, 77  ÷  3  =  25 R 2.

a) There were 25 apples in each basket.

b) 2 apples were left.

5. Jenny collected 630 postcards. She put the postcards equally into 4 albums.
a) How many postcards did she put in each album?
b) How many postcards were left?

model method to show division
Step 1a: Divide the hundreds by 4.
step-by-step division, third grade math
step-by-step division
6 hundreds  ÷  4  =  1 hundred with a remainder of 2 hundreds
Step 1b: Regroup the remainder hundreds.
step-by-step division, third grade math
step-by-step division
2 hundreds  =  20 tens

Add the tens.
20 tens  +  3 tens  =  23 tens
Step 2a: Divide the tens by 4.
step-by-step division, third grade math
step-by-step division
23 tens  ÷  4  =  5 tens with a remainder of 3 tens
Step 2b: Regroup the remainder tens.
step-by-step division, third grade math
step-by-step division
3 tens  =  30 ones

Add the ones.
30 ones  +  0 ones  =  30 ones
Step 3: Divide the ones by 4.
step-by-step division, third grade math
step-by-step division
30 ones  ÷  4  =  7 ones with a remainder of 2 ones
So, 630  ÷  4  =  157 R 2.

a) She put 157 postcards in each album.

b) 2 postcards were left.