845583 ÷ 88 
Our goal is to divide 845583 by 88.

Advancing to step 1:
When dividing 8 by 88, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 88

Going ahead to step 2:
88 goes into 84 0 times with a remainder of 84.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 84 to get 84.
Fetch the next digit (5) from the dividend, attach it to 84 and continue: 845 / 88

On to step 3:
845 divided by 88 is 9 with a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 792 from 845, we get 53.
Grab the next digit (5) from the dividend, add it to 53, then carry on: 535 / 88

Step 4:
The number 88 fits into 535 6 times, leaving a remainder of 7.
The next digit of our result is 6. 
Result so far: 96.0
Subtracting 528 from 535 leaves us with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 88

On to step 5:
88 can be fit into 78 0 times, resulting in a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 960.0
Subtract 0 from 78 to get 78.
Append the next digit (3) from the dividend to 78 and continue with: 783 / 88

Going ahead to step 6:
88 can be fit into 783 8 times, resulting in a remainder of 79.
Put 8 as the next digit of the answer. 
Result so far: 9608.0
Deduct 704 from 783 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 7:
If we divide 790 by 88, we get 8 and a remainder of 86.
Write down 8 as next digit of the result. 
Result so far: 9608.8
Deduct 704 from 790 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 8:
When dividing 860 by 88, we get 9 with a remainder of 68.
The number 9 becomes the next digit in our result. 
Result so far: 9608.89
If we take 792 away from 860, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
88 goes into 680 7 times with a remainder of 64.
The next digit of our result is 7. 
Result so far: 9608.897
If we take 616 away from 680, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
When dividing 640 by 88, we get 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 9608.8977
If we take 616 away from 640, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 9608.8977, with a leftover of 0.00024.