76688354 divided by 634 
We want to figure out the number of times 76688354 can be divided by 634.

On to step 1:
The number 634 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 634

Going ahead to step 2:
634 can be fit into 76 0 times, resulting in a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 634

On to step 3:
634 goes into 766 1 times with a remainder of 132.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 634 away from 766, we end up with 132.
Take the next digit (8) from the dividend and append it to 132, then repeat: 1328 / 634

Step 4:
If we divide 1328 by 634, we get 2 and a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 1268 away from 1328, we end up with 60.
Include the next digit (8) from the dividend after 60, then repeat: 608 / 634

Going ahead to step 5:
634 goes into 608 0 times with a remainder of 608.
Write down 0 as next digit of the result. 
Result so far: 120.0
The remainder is 608 after subtracting 0 from 608.
Fetch the next digit (3) from the dividend, attach it to 608 and continue: 6083 / 634

Let's proceed to step 6:
The number 634 fits into 6083 9 times, leaving a remainder of 377.
The number 9 becomes the next digit in our result. 
Result so far: 1209.0
Subtract 5706 from 6083 to get 377.
Fetch the next digit (5) from the dividend, attach it to 377 and continue: 3775 / 634

On to step 7:
634 goes into 3775 5 times with a remainder of 605.
Write down 5 as next digit of the result. 
Result so far: 12095.0
Subtracting 3170 from 3775 leaves us with 605.
Fetch the next digit (4) from the dividend, attach it to 605 and continue: 6054 / 634

Going ahead to step 8:
634 can be fit into 6054 9 times, resulting in a remainder of 348.
Write down 9 as next digit of the result. 
Result so far: 120959.0
If we take 5706 away from 6054, we end up with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Advancing to step 9:
3480 divided by 634 is 5 with a remainder of 310.
Write down 5 as next digit of the result. 
Result so far: 120959.5
Subtract 3170 from 3480 to get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Advancing to step 10:
When dividing 3100 by 634, we get 4 with a remainder of 564.
Record the quotient 4 as the next digit in the result. 
Result so far: 120959.54
Subtracting 2536 from 3100 leaves us with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Advancing to step 11:
634 goes into 5640 8 times with a remainder of 568.
Use 8 as the next digit of our solution. 
Result so far: 120959.548
The remainder is 568 after subtracting 5072 from 5640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

Step 12:
When dividing 5680 by 634, we get 8 with a remainder of 608.
The next digit of our result is 8. 
Result so far: 120959.5488
The remainder is 608 after subtracting 5072 from 5680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

The quotient of the division is 120959.5488, and the remainder is 0.00608.