65665 ÷ 88 
Let's see how many times 88 fits into 65665.

Moving on to step 1:
88 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 88

Advancing to step 2:
88 can be fit into 65 0 times, resulting in a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Grab the next digit (6) from the dividend, add it to 65, then carry on: 656 / 88

Let's proceed to step 3:
If we divide 656 by 88, we get 7 and a remainder of 40.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 616 from 656 and we're left with 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 88

Moving on to step 4:
If we divide 406 by 88, we get 4 and a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 74.0
If we take 352 away from 406, we end up with 54.
Grab the next digit (5) from the dividend, add it to 54, then carry on: 545 / 88

Moving on to step 5:
When dividing 545 by 88, we get 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 746.0
Subtract 528 from 545 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 6:
88 can be fit into 170 1 times, resulting in a remainder of 82.
Use 1 as the next digit of our solution. 
Result so far: 746.1
If we subtract 88 from 170, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 7:
88 goes into 820 9 times with a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 746.19
The remainder is 28 after subtracting 792 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
88 can be fit into 280 3 times, resulting in a remainder of 16.
The next digit of our result is 3. 
Result so far: 746.193
Subtract 264 from 280 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.

Let's proceed to step 9:
When dividing 160 by 88, we get 1 with a remainder of 72.
The next digit of our result is 1. 
Result so far: 746.1931
The remainder is 72 after subtracting 88 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 10:
When dividing 720 by 88, we get 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 746.19318
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.

Going ahead to step 11:
88 goes into 160 1 times with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 746.193181
Subtract 88 from 160 to 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.

Step 12:
When dividing 720 by 88, we get 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 746.1931818
The remainder is 16 after subtracting 704 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
160 divided by 88 is 1 with a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 746.19318181
Deduct 88 from 160 and we're left 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.

The quotient of the division is 746.19318181, and the remainder is 7.2e-08.