Understanding Long Division: A KS3 Guide
Long division is a method used to divide large numbers into smaller parts step by step. It helps when simple division isn't enough, like dividing 156 by 12. Here's how it works:
Set It Up: Write the divisor (the number you are dividing by) outside the division bar and the dividend (the number being divided) under it.
Divide: Start with the first digit or group of digits in the dividend. See how many times the divisor fits into this. Write the result (quotient) above the bar.
Multiply: Multiply the divisor by the quotient and write this number under the dividend.
Subtract: Subtract the result from the dividend to find the remainder.
Bring Down: If there are more digits left in the dividend, bring down the next one and repeat the process.
Repeat: Continue until you've brought down all the digits. The number above the bar is the quotient, and any leftover number is the remainder.
For example:
To divide 156 by 12:
12 fits into 15 once (write 1 above). Multiply 12 × 1 = 12. Subtract: 15 - 12 = 3.
Bring down 6 to make 36.
12 fits into 36 three times (write 3 above). Multiply 12 × 3 = 36. Subtract: 36 - 36 = 0.
So, 156 ÷ 12 = 13.
Practising regularly will help you become confident with long division!
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