Back
Long Division with Two Digits
> ... Math > Division and Percentages > Long Division with Two Digits

Previously, you learned how to do long division when dividing by a one-digit number or divisor. We use the same division steps when the number we divide by (the divisor) has multiple digits. The following video will show an example of how this works.

Dividing by two-digit whole number

Remember that it’s okay to guess and have to erase as you work through this process. With more practice, you’ll become better at it, and it will go faster. It will also be easier and faster if you have your multiplication facts memorized. Keep working on memorizing them if you don’t have them memorized already.

Additional Resources

Practice Problems

Evaluate the following expression:
1. $$152 \div 8 = ?$$ (
Solution
Solution: 19
Details:
To determine how many times 8 goes into 152, first, look at the 1 in 152. We can’t make 8 with 1, or in other words, there aren’t enough pieces in 1 to have a set of 8. Next, we look at the digits 1 and 5 together, and ask ourselves how many times would 8 go into 15, or how many sets of 8 can we get with 15 pieces? The answer is 1 time or 1 set of 8.

Place the 1 in the answer location above the 5.

Next, multiply 8 × 1 and put the solution of 8 below the 5. We place the 8 below the 15 and subtract $$15 − 8$$. The remainder is 7. Place the 7 below the 5 and 8.

The next step is to bring down the 2 in 152 and place it next to the 7 in the remainder. Now we have 72 in this area.

We are still dividing our original problem, but we are doing it in parts.

The next step is to determine how many times will 8 go into 72 and the answer is 9 because $$8 \times 9 = 72$$.

Place the 9 in the answer area above the 2 in 152.

Since $$8 \times 9$$ is 72 we will place 72 below the 72 and subtract. We have 0 remaining. We can stop dividing once we reach a remainder of 0.

The answer to 152 divided by 8 is 19.

)
2. $$1620 \div 20 = ?$$ (
Solution
Solution: 81
Details:
To determine how many times 20 goes into 1620, first we test the 1. There are zero sets of 20 in 1. Next, we look at the digits 1 and 6, and ask ourselves how many times would 20 go into 16? Again, there are zero sets of 20 in 16, so it goes into 16 zero times. Next, we look at the digits 1, 6 and 2 together and ask ourselves how many times would 20 go into 162? The answer is $${\color{Red}{\text{about }} 8 {\text{ times}}}$$.

Multiply $$8 \times 20$$. We find that $$8 \times 20 = 160$$. Place the 160 below the 162 and subtract. We have a remainder of 2.

We now bring down the 0 from the top, to make 20.

Now we are ready to repeat the process again by asking ourselves how many times does 20 go into 20. The answer is $${\color{Red}1 {\text{ time}}}$$. We know that $$20 \times 1 = 20$$. We place the 1 in the answer location above the 0 in 1620 and multiply $$1 \times 20 = 20$$. Place the 20 below the other 20 and subtract. We have 0 left over and no other digits to bring down, so we can stop our division process.

The answer to the original question of how many times 20 goes into 1620 is $${\color{Red}81 {\text{ times}}}$$.

)
3. $$2349 \div 87 = ?$$ (
Video Solution
Solution: 27
Details:

(Video Source | Transcript)
)
4. $$3003 \div 39 = ?$$ (
Solution
Solution:
77
)
5. $$14363 \div 53 = ?$$ (
Video Solution
Solution: 271
Details:

(Video Source | Transcript)
)
6. $$45696 \div 64 = ?$$ (
Solution
Solution:
714
)

Need More Help?

1. Study other Math Lessons in the Resource Center.
2. Visit the Online Tutoring Resources in the Resource Center.
3. Contact your Instructor.
4. If you still need help, Schedule a Tutor.