83577319 ÷ 638 
Our goal is to divide 83577319 by 638.

Advancing to step 1:
638 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 638

Let's proceed to step 2:
The number 638 fits into 83 0 times, leaving a remainder of 83.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 83 after subtracting 0 from 83.
Include the next digit (5) from the dividend after 83, then repeat: 835 / 638

Moving on to step 3:
835 divided by 638 is 1 with a remainder of 197.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 638 from 835 and we're left with 197.
Include the next digit (7) from the dividend after 197, then repeat: 1977 / 638

Moving on to step 4:
The number 638 fits into 1977 3 times, leaving a remainder of 63.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 63 after subtracting 1914 from 1977.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 638

Moving on to step 5:
The number 638 fits into 637 0 times, leaving a remainder of 637.
Use 0 as the next digit of our solution. 
Result so far: 130.0
If we take 0 away from 637, we end up with 637.
Take the next digit (3) from the dividend and append it to 637, then repeat: 6373 / 638

Moving on to step 6:
638 goes into 6373 9 times with a remainder of 631.
Record the quotient 9 as the next digit in the result. 
Result so far: 1309.0
The remainder is 631 after subtracting 5742 from 6373.
Take the next digit (1) from the dividend and append it to 631, then repeat: 6311 / 638

On to step 7:
6311 divided by 638 is 9 with a remainder of 569.
The number 9 becomes the next digit in our result. 
Result so far: 13099.0
Subtract 5742 from 6311 to get 569.
Take the next digit (9) from the dividend and append it to 569, then repeat: 5699 / 638

Step 8:
638 can be fit into 5699 8 times, resulting in a remainder of 595.
Put 8 as the next digit of the answer. 
Result so far: 130998.0
Deduct 5104 from 5699 and we're left with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

Let's proceed to step 9:
If we divide 5950 by 638, we get 9 and a remainder of 208.
Use 9 as the next digit of our solution. 
Result so far: 130998.9
Subtract 5742 from 5950 to get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 10:
2080 divided by 638 is 3 with a remainder of 166.
The next digit of our result is 3. 
Result so far: 130998.93
Subtracting 1914 from 2080 leaves us with 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Step 11:
638 can be fit into 1660 2 times, resulting in a remainder of 384.
Write down 2 as next digit of the result. 
Result so far: 130998.932
The remainder is 384 after subtracting 1276 from 1660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Advancing to step 12:
638 goes into 3840 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 130998.9326
If we take 3828 away from 3840, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
If we divide 120 by 638, we get 0 and a remainder of 120.
Write down 0 as next digit of the result. 
Result so far: 130998.9326
If we take 0 away from 120, we end up with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Let's proceed to step 14:
638 can be fit into 1200 1 times, resulting in a remainder of 562.
Write down 1 as next digit of the result. 
Result so far: 130998.932601
Deduct 638 from 1200 and we're left with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Let's proceed to step 15:
5620 divided by 638 is 8 with a remainder of 516.
Put 8 as the next digit of the answer. 
Result so far: 130998.9326018
Deduct 5104 from 5620 and we're left with 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

On to step 16:
5160 divided by 638 is 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 130998.93260188
The remainder is 56 after subtracting 5104 from 5160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 130998.93260188 with a remainder of 5.6e-08.