Long Division Long Division Long Division Long Division

A study guide for beginners A study guide for beginners

The Steps To Long Division

• Divide- the number inside the house with the number outside of the house

• Multiply- the number outside of the house by the number on top of the house

• Subtract- the number inside the house from the number below the inside number

• Check- to make sure the difference (the answer to a subtraction problem) is smaller that the number outside the house

• Bring Down- the next number in the dividend to add to the ones place in your sum

• Repeat- all the steps as many times as needed

1st Step- Divide• In the first step

you divide the number outside the house called the divisor by the number inside the house called the dividend.

12

144

12 goes into 144 12 times so you put 12 on top of the house.

12

2nd Step- Multiply• Then you multiply

the divisor by the quotient the number on top of the house, also the answer to a division problem.

12 144

12

-144___

12x12=144

3rd Step- Subtract • Next you subtract

the dividend by the number underneath. The answer you get is your remainder. If the answer you get is zero the there is no remainder.

12 144

12

-144___

0

4th Step- Check • Check your

difference to make sure it is lesser than the divisor. If it is not then you did something wrong.

12 144

12

-144___

0

5th Step- Bring Down• There is nothing

left to bring down.

12 144

12

-144___

6th Step- Repeat• You only use this step when you

have numbers left over• In the next few slides I will show

you what to do if this problem occurs

1st Step- Divide

8 197

8 can’t go into 1, so it has to know go into 19.

How many times does 8 go in 19? You can figure this out by multiplying. 8x1=8, 8x2=16, 8x3=24. It can go in 1 time because the answer you get afterwards is 8. And 8 can go into 19. But, sense 8x2=16 it can also go in 2 times; and you want it to go in as many times as possible with going over the number (19). So, that’s why it can’t go in 3 times because 8x3=24 and 24 is greater than 19. 24>19.

2

2nd Step- Multiply

8 197

2

16

Then you multiply the divisor by the quotient

And then you get 16

3rd Step- Subtraction

8 197

2

16Now you

subtract 16 from 19

-______

And then you get 3

3

4th Step- Check

8 197

2

16-______

3

3 is smaller than 8. So far we got the equation right.

5th Step- Bring Down

8 197

2

16

______

37Now you bring down the 7 in 197 and you get 37.

6th Step- Repeat

8 19716

-______

37

2424

-______

5

1.1. Divide Divide How many time does 8 go into 37? 4.

3. 3. Subtract Subtract 37-32=5.

4. 4. Check Check 5 is smaller 8, so we’re good. 5<8.

2.2. Multiply Multiply 8x4=32.

32

5. 5. Bring Down Bring Down there is nothing else to bring down so you’re remainder is 5.

6th Step- Repeat

8 197 22

16

-______

37

44

-______

5

r5r5

32

Final Answer: 24 r5

All Done!• Now you know how to long divide,

let’s go over what we’ve learned!

REVIEW!!!

Steps to Long Division

Divide Divide Divide the divisor into

the dividend. How manyTimes does it go in?

MultiplyMultiplyMultiply the divisor

by the quotient.

Subtract Subtract Subtract the number

below the dividend fromThe dividend.

Check Check Check to make sureThat the answer youGot is smaller that

The divisor. (SometimesThis step won’t be

Necessary.

Repeat Repeat Repeat all the stepsIf the sum you got

Was not zero.

Bring Down Bring Down Bring down the next

Number in the dividendAnd add it to the sum.