Let's divide 86578109 by 638
We're looking to find how many times 638 goes into 86578109.

Going ahead to step 1:
638 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 638

Moving on to step 2:
If we divide 86 by 638, we get 0 and a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 86 leaves us with 86.
Include the next digit (5) from the dividend after 86, then repeat: 865 / 638

Going ahead to step 3:
865 divided by 638 is 1 with a remainder of 227.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 638 from 865 leaves us with 227.
Take the next digit (7) from the dividend and append it to 227, then repeat: 2277 / 638

On to step 4:
When dividing 2277 by 638, we get 3 with a remainder of 363.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 1914 from 2277 leaves us with 363.
Fetch the next digit (8) from the dividend, attach it to 363 and continue: 3638 / 638

Let's proceed to step 5:
The number 638 fits into 3638 5 times, leaving a remainder of 448.
Write down 5 as next digit of the result. 
Result so far: 135.0
Deduct 3190 from 3638 and we're left with 448.
Bring next digit (1) of the dividend behind the 448 and repeat the process: 4481 / 638

Advancing to step 6:
The number 638 fits into 4481 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 1357.0
If we take 4466 away from 4481, we end up with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 638

Let's proceed to step 7:
The number 638 fits into 150 0 times, leaving a remainder of 150.
Write down 0 as next digit of the result. 
Result so far: 13570.0
Subtract 0 from 150 to get 150.
Grab the next digit (9) from the dividend, add it to 150, then carry on: 1509 / 638

Step 8:
638 goes into 1509 2 times with a remainder of 233.
Record the quotient 2 as the next digit in the result. 
Result so far: 135702.0
Subtract 1276 from 1509 to get 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Going ahead to step 9:
The number 638 fits into 2330 3 times, leaving a remainder of 416.
Put 3 as the next digit of the answer. 
Result so far: 135702.3
Subtracting 1914 from 2330 leaves us with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Moving on to step 10:
638 goes into 4160 6 times with a remainder of 332.
The next digit of our result is 6. 
Result so far: 135702.36
If we take 3828 away from 4160, we end up with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Advancing to step 11:
638 can be fit into 3320 5 times, resulting in a remainder of 130.
Put 5 as the next digit of the answer. 
Result so far: 135702.365
Subtract 3190 from 3320 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Going ahead to step 12:
The number 638 fits into 1300 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 135702.3652
Deduct 1276 from 1300 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
The number 638 fits into 240 0 times, leaving a remainder of 240.
Write down 0 as next digit of the result. 
Result so far: 135702.3652
If we subtract 0 from 240, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Going ahead to step 14:
2400 divided by 638 is 3 with a remainder of 486.
The next digit of our result is 3. 
Result so far: 135702.365203
Subtract 1914 from 2400 to get 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Let's proceed to step 15:
If we divide 4860 by 638, we get 7 and a remainder of 394.
Record the quotient 7 as the next digit in the result. 
Result so far: 135702.3652037
Subtract 4466 from 4860 to get 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Step 16:
The number 638 fits into 3940 6 times, leaving a remainder of 112.
The number 6 becomes the next digit in our result. 
Result so far: 135702.36520376
If we subtract 3828 from 3940, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

In conclusion, the division gives 135702.36520376 with a balance of 1.12e-07.