We're dividing 8579886 by 742 
We want to divide 8579886 by 742.

Advancing to step 1:
When dividing 8 by 742, we get 0 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.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 742

Step 2:
The number 742 fits into 85 0 times, leaving a remainder of 85.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 85 and we're left with 85.
Grab the next digit (7) from the dividend, add it to 85, then carry on: 857 / 742

Advancing to step 3:
857 divided by 742 is 1 with a remainder of 115.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 742 away from 857, we end up with 115.
Include the next digit (9) from the dividend after 115, then repeat: 1159 / 742

On to step 4:
When dividing 1159 by 742, we get 1 with a remainder of 417.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 742 away from 1159, we end up with 417.
Grab the next digit (8) from the dividend, add it to 417, then carry on: 4178 / 742

Advancing to step 5:
4178 divided by 742 is 5 with a remainder of 468.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
If we take 3710 away from 4178, we end up with 468.
Fetch the next digit (8) from the dividend, attach it to 468 and continue: 4688 / 742

Step 6:
When dividing 4688 by 742, we get 6 with a remainder of 236.
The number 6 becomes the next digit in our result. 
Result so far: 1156.0
Subtract 4452 from 4688 to get 236.
Include the next digit (6) from the dividend after 236, then repeat: 2366 / 742

Advancing to step 7:
If we divide 2366 by 742, we get 3 and a remainder of 140.
Put 3 as the next digit of the answer. 
Result so far: 11563.0
Subtract 2226 from 2366 to get 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Moving on to step 8:
742 goes into 1400 1 times with a remainder of 658.
Put 1 as the next digit of the answer. 
Result so far: 11563.1
If we subtract 742 from 1400, we get 658.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6580, and continue the process.

On to step 9:
When dividing 6580 by 742, we get 8 with a remainder of 644.
The number 8 becomes the next digit in our result. 
Result so far: 11563.18
The remainder is 644 after subtracting 5936 from 6580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Step 10:
6440 divided by 742 is 8 with a remainder of 504.
The number 8 becomes the next digit in our result. 
Result so far: 11563.188
Subtracting 5936 from 6440 leaves us with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

The quotient of the division is 11563.188, and the remainder is 0.0504.