Long Division Made Easy! 3 Types Explained Step by Step ✏️, by LampoFilm on YouTube. 8 min 8 s.
- Video length
- 8 min 8 s
- Time to do it
- 20 minutes
- Difficulty
- Easy
- Steps
- 10
What you need
Steps
Write the problem in long division form. Put the dividend, such as 618, under the division bracket and the divisor, such as 3, to the left of it.
Start with the first digit on the left. Ask how many times the divisor fits into it. For 618 ÷ 3, 3 fits into 6 two times, so write 2 above the 6.
Multiply that answer by the divisor and write the result under the digit. Subtract to find what is left, then bring down the next digit beside it.
Repeat the divide, multiply, subtract and bring down cycle for each digit. For 618 ÷ 3 you get 206 with no remainder.
Try 305 ÷ 7. Since 7 does not fit into 3, look at the first two digits, 30. Write 4 above the 0, since 7 times 4 is 28.
Subtract 28 from 30 to get 2, bring down the 5 to make 25, then divide 25 by 7. Write 3 above the 5, since 7 times 3 is 21.
Subtract 21 from 25 to get 4. Nothing is left to bring down, so the answer is 43 remainder 4. Write it as 43 r4.
For 278 ÷ 5, divide as usual. You get 55 with a remainder of 3, because 5 times 55 is 275.
Turn the remainder into a decimal. Write a decimal point after 55 and add a zero to the remainder to make 30, then divide 30 by 5 to get 6. The answer is 55.6.
Check each answer by multiplying the quotient by the divisor and adding any remainder. For 43 r4, 43 times 7 plus 4 equals 305.
Tips and common mistakes
Line up your digits in columns so each place value stays in the right spot.
If the divisor does not fit into the first digit, start with the first two digits instead.
Keep bringing down one digit at a time and stop only when nothing is left to bring down.
Add a zero after the decimal point each time you need another digit in a decimal answer.
Questions
What does r mean in a division answer?
The r stands for remainder. It is the amount left over after the divisor no longer fits into the number, such as 43 r4.
How do I know when to use a decimal instead of a remainder?
Use a decimal when you want an exact answer or the problem asks for one. Add a decimal point and zeros to the remainder and keep dividing.
How can I check my long division answer?
Multiply the quotient by the divisor, then add the remainder. The result should equal the original dividend.
This guide was drafted from the video's details and general task knowledge. It has not been checked against the full video. Check the video and relevant product instructions before following a procedure. Report a correction.
