Mastering Long Division Techniques

Long Division

When dividing numbers, long division gives you a clear path to follow. The divisor is the number you're dividing by, the dividend is the number being divided, and the quotient is your answer.

Here's how to do it:

1. Multiply the divisor by a number to get as close as possible to the first digit$s$ of the dividend
2. Write this number in the quotient (on top)
3. Subtract and bring down the next digit
4. Repeat until you get zero or need to use a decimal

Remember This: If your remainder is zero, you're done! If not, you'll need to add decimals.

When dividing smaller numbers by bigger ones (like 3÷4), add a zero and decimal point to the quotient. Continue dividing as normal, adding zeros to the dividend as needed. This gives you a decimal answer like 0.75.

If you notice the same digits repeating in your decimal answer, you can stop dividing and use a repeating decimal sign over those numbers to save time.