Understanding Long Division for 10-Year-Olds: A Step-by-Step Guide

What is Long Division?

Long division is a method used to divide larger numbers by smaller numbers. It helps you find out how many times one number can fit into another and shows you what is left over.

Step-by-Step Guide to Long Division

Let’s take an example: 154 ÷ 7

1. Set Up the Problem: Write 154 under the long division symbol (the "division house") and 7 outside of it.
2. Divide: Ask yourself: How many times does 7 go into the first digit of 154, which is 1? It goes 0 times, so you move to the next digit.
3. Now consider the first two digits (15): How many times does 7 go into 15? It goes 2 times because 7 x 2 = 14. Write 2 above the line over the last digit of 15.
4. Multiply: Multiply 2 (the quotient) by 7 (the divisor): 2 x 7 = 14. Write 14 below 15.
5. Subtract: Subtract 14 from 15: 15 - 14 = 1. Write 1 below the 14.
6. Bring Down: Bring down the next digit (the last digit, which is 4) down next to the 1. Now you have 14.
7. Repeat Divide: How many times does 7 go into 14? It goes 2 times because 7 x 2 = 14. Write another 2 above the division line next to the first 2.
8. Multiply Again: Multiply 2 by 7, and you get 14. Write that below the 14 you just created.
9. Subtract Again: Subtract 14 from 14, which equals 0. This means there’s no remainder!

Final Answer:

The full answer of 154 ÷ 7 is 22, and there’s no remainder.

Practice Makes Perfect!

Now you can try some examples on your own! Try dividing 144 ÷ 12, and see if you can follow the steps! Remember, practice will help you get better at long division.