We look at the division of 565066 by 88 
We want to divide 565066 by 88.

Going ahead to step 1:
The number 88 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 88

Step 2:
88 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 88

Going ahead to step 3:
88 goes into 565 6 times with a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 528 from 565 leaves us with 37.
Fetch the next digit (0) from the dividend, attach it to 37 and continue: 370 / 88

Going ahead to step 4:
If we divide 370 by 88, we get 4 and a remainder of 18.
The next digit of our result is 4. 
Result so far: 64.0
Subtract 352 from 370 to get 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 88

Going ahead to step 5:
88 goes into 186 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 642.0
If we subtract 176 from 186, we get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 88

On to step 6:
When dividing 106 by 88, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 6421.0
Subtract 88 from 106 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
180 divided by 88 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6421.2
Subtracting 176 from 180 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
If we divide 40 by 88, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6421.2
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
400 divided by 88 is 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6421.204
Deduct 352 from 400 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
When dividing 480 by 88, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 6421.2045
Subtracting 440 from 480 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
88 goes into 400 4 times with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 6421.20454
The remainder is 48 after subtracting 352 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
88 goes into 480 5 times with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 6421.204545
The remainder is 40 after subtracting 440 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
If we divide 400 by 88, we get 4 and a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6421.2045454
If we subtract 352 from 400, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 14:
88 goes into 480 5 times with a remainder of 40.
The next digit of our result is 5. 
Result so far: 6421.20454545
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 6421.20454545, and the remainder is 4e-08.