654517 ÷ 88 
Our goal is to divide 654517 by 88.

Moving on to step 1:
When dividing 6 by 88, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 88

Advancing to step 2:
When dividing 65 by 88, we get 0 with a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Fetch the next digit (4) from the dividend, attach it to 65 and continue: 654 / 88

Moving on to step 3:
When dividing 654 by 88, we get 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 616 from 654, we get 38.
Append the next digit (5) from the dividend to 38 and continue with: 385 / 88

Let's proceed to step 4:
88 can be fit into 385 4 times, resulting in a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 352 from 385 and we're left with 33.
Grab the next digit (1) from the dividend, add it to 33, then carry on: 331 / 88

On to step 5:
When dividing 331 by 88, we get 3 with a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 743.0
The remainder is 67 after subtracting 264 from 331.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 88

Going ahead to step 6:
The number 88 fits into 677 7 times, leaving a remainder of 61.
The next digit of our result is 7. 
Result so far: 7437.0
If we subtract 616 from 677, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 7:
88 can be fit into 610 6 times, resulting in a remainder of 82.
The number 6 becomes the next digit in our result. 
Result so far: 7437.6
Deduct 528 from 610 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 8:
820 divided by 88 is 9 with a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 7437.69
Subtract 792 from 820 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
88 goes into 280 3 times with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 7437.693
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
The number 88 fits into 160 1 times, leaving a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 7437.6931
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 11:
720 divided by 88 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 7437.69318
Subtract 704 from 720 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
88 goes into 160 1 times with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 7437.693181
If we subtract 88 from 160, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 13:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 7437.6931818
Deduct 704 from 720 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
88 can be fit into 160 1 times, resulting in a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 7437.69318181
If we take 88 away from 160, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Our division results in 7437.69318181 with a remaining 7.2e-08.