We look at the division of 83186077 by 632 
We're looking to find how many times 632 goes into 83186077.

Step 1:
If we divide 8 by 632, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 632

Step 2:
If we divide 83 by 632, we get 0 and a remainder of 83.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 83, we end up with 83.
Grab the next digit (1) from the dividend, add it to 83, then carry on: 831 / 632

Advancing to step 3:
If we divide 831 by 632, we get 1 and a remainder of 199.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 199 after subtracting 632 from 831.
Fetch the next digit (8) from the dividend, attach it to 199 and continue: 1998 / 632

On to step 4:
When dividing 1998 by 632, we get 3 with a remainder of 102.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 1896 from 1998 and we're left with 102.
Fetch the next digit (6) from the dividend, attach it to 102 and continue: 1026 / 632

Let's proceed to step 5:
When dividing 1026 by 632, we get 1 with a remainder of 394.
Put 1 as the next digit of the answer. 
Result so far: 131.0
Subtracting 632 from 1026 leaves us with 394.
Append the next digit (0) from the dividend to 394 and continue with: 3940 / 632

On to step 6:
When dividing 3940 by 632, we get 6 with a remainder of 148.
The next digit of our result is 6. 
Result so far: 1316.0
If we subtract 3792 from 3940, we get 148.
Grab the next digit (7) from the dividend, add it to 148, then carry on: 1487 / 632

Moving on to step 7:
632 can be fit into 1487 2 times, resulting in a remainder of 223.
The number 2 becomes the next digit in our result. 
Result so far: 13162.0
Deduct 1264 from 1487 and we're left with 223.
Fetch the next digit (7) from the dividend, attach it to 223 and continue: 2237 / 632

Let's proceed to step 8:
632 can be fit into 2237 3 times, resulting in a remainder of 341.
Record the quotient 3 as the next digit in the result. 
Result so far: 131623.0
If we subtract 1896 from 2237, we get 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Step 9:
632 goes into 3410 5 times with a remainder of 250.
The next digit of our result is 5. 
Result so far: 131623.5
If we take 3160 away from 3410, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Advancing to step 10:
632 can be fit into 2500 3 times, resulting in a remainder of 604.
Put 3 as the next digit of the answer. 
Result so far: 131623.53
Deduct 1896 from 2500 and we're left with 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

Going ahead to step 11:
If we divide 6040 by 632, we get 9 and a remainder of 352.
Put 9 as the next digit of the answer. 
Result so far: 131623.539
Subtract 5688 from 6040 to get 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 12:
The number 632 fits into 3520 5 times, leaving a remainder of 360.
The next digit of our result is 5. 
Result so far: 131623.5395
If we subtract 3160 from 3520, we get 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Let's proceed to step 13:
3600 divided by 632 is 5 with a remainder of 440.
The next digit of our result is 5. 
Result so far: 131623.53955
If we subtract 3160 from 3600, we get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Our division results in 131623.53955 with a remaining 0.00044.