We're dividing 78575268 by 746 
We want to figure out the number of times 78575268 can be divided by 746.

Advancing to step 1:
746 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 746

Let's proceed to step 2:
78 divided by 746 is 0 with a remainder of 78.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 78 after subtracting 0 from 78.
Take the next digit (5) from the dividend and append it to 78, then repeat: 785 / 746

Step 3:
When dividing 785 by 746, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 746 from 785 and we're left with 39.
Include the next digit (7) from the dividend after 39, then repeat: 397 / 746

Moving on to step 4:
746 can be fit into 397 0 times, resulting in a remainder of 397.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 397, we end up with 397.
Grab the next digit (5) from the dividend, add it to 397, then carry on: 3975 / 746

Step 5:
746 can be fit into 3975 5 times, resulting in a remainder of 245.
Write down 5 as next digit of the result. 
Result so far: 105.0
Subtract 3730 from 3975 to get 245.
Fetch the next digit (2) from the dividend, attach it to 245 and continue: 2452 / 746

Advancing to step 6:
The number 746 fits into 2452 3 times, leaving a remainder of 214.
The number 3 becomes the next digit in our result. 
Result so far: 1053.0
If we subtract 2238 from 2452, we get 214.
Grab the next digit (6) from the dividend, add it to 214, then carry on: 2146 / 746

Going ahead to step 7:
746 goes into 2146 2 times with a remainder of 654.
Write down 2 as next digit of the result. 
Result so far: 10532.0
If we subtract 1492 from 2146, we get 654.
Fetch the next digit (8) from the dividend, attach it to 654 and continue: 6548 / 746

Step 8:
746 goes into 6548 8 times with a remainder of 580.
Write down 8 as next digit of the result. 
Result so far: 105328.0
Subtracting 5968 from 6548 leaves us with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Moving on to step 9:
If we divide 5800 by 746, we get 7 and a remainder of 578.
Record the quotient 7 as the next digit in the result. 
Result so far: 105328.7
Subtract 5222 from 5800 to get 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Advancing to step 10:
The number 746 fits into 5780 7 times, leaving a remainder of 558.
Put 7 as the next digit of the answer. 
Result so far: 105328.77
Subtracting 5222 from 5780 leaves us with 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

The quotient of the division is 105328.77, and the remainder is 0.558.