We look at the division of 83627513 by 774 
Our goal is to divide 83627513 by 774.

Advancing to step 1:
The number 774 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
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 / 774

Step 2:
The number 774 fits into 83 0 times, leaving a remainder of 83.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 83 and we're left with 83.
Grab the next digit (6) from the dividend, add it to 83, then carry on: 836 / 774

On to step 3:
836 divided by 774 is 1 with a remainder of 62.
The next digit of our result is 1. 
Result so far: 1.0
If we take 774 away from 836, we end up with 62.
Grab the next digit (2) from the dividend, add it to 62, then carry on: 622 / 774

Moving on to step 4:
If we divide 622 by 774, we get 0 and a remainder of 622.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 622, we end up with 622.
Fetch the next digit (7) from the dividend, attach it to 622 and continue: 6227 / 774

On to step 5:
774 goes into 6227 8 times with a remainder of 35.
The next digit of our result is 8. 
Result so far: 108.0
Subtract 6192 from 6227 to get 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 774

Step 6:
The number 774 fits into 355 0 times, leaving a remainder of 355.
The next digit of our result is 0. 
Result so far: 1080.0
Deduct 0 from 355 and we're left with 355.
Bring next digit (1) of the dividend behind the 355 and repeat the process: 3551 / 774

Moving on to step 7:
If we divide 3551 by 774, we get 4 and a remainder of 455.
Use 4 as the next digit of our solution. 
Result so far: 10804.0
If we subtract 3096 from 3551, we get 455.
Bring next digit (3) of the dividend behind the 455 and repeat the process: 4553 / 774

Step 8:
If we divide 4553 by 774, we get 5 and a remainder of 683.
Write down 5 as next digit of the result. 
Result so far: 108045.0
If we subtract 3870 from 4553, we get 683.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6830, and continue the process.

Moving on to step 9:
If we divide 6830 by 774, we get 8 and a remainder of 638.
Record the quotient 8 as the next digit in the result. 
Result so far: 108045.8
Subtracting 6192 from 6830 leaves us with 638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6380, and continue the process.

Let's proceed to step 10:
The number 774 fits into 6380 8 times, leaving a remainder of 188.
Write down 8 as next digit of the result. 
Result so far: 108045.88
Subtract 6192 from 6380 to get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

The quotient of the division is 108045.88, and the remainder is 0.188.