641111 divided by 88 
Our goal is to divide 641111 by 88.

Moving on to step 1:
88 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 88

Going ahead to step 2:
88 goes into 64 0 times with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Bring next digit (1) of the dividend behind the 64 and repeat the process: 641 / 88

Going ahead to step 3:
When dividing 641 by 88, we get 7 with a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 616 from 641 and we're left with 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 88

Going ahead to step 4:
88 goes into 251 2 times with a remainder of 75.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtracting 176 from 251 leaves us with 75.
Append the next digit (1) from the dividend to 75 and continue with: 751 / 88

On to step 5:
The number 88 fits into 751 8 times, leaving a remainder of 47.
Put 8 as the next digit of the answer. 
Result so far: 728.0
Subtracting 704 from 751 leaves us with 47.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 88

Going ahead to step 6:
471 divided by 88 is 5 with a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 7285.0
If we take 440 away from 471, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
If we divide 310 by 88, we get 3 and a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 7285.3
Subtracting 264 from 310 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
The number 88 fits into 460 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 7285.35
If we take 440 away from 460, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
88 goes into 200 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 7285.352
Subtracting 176 from 200 leaves us 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.

Advancing to step 10:
88 goes into 240 2 times with a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 7285.3522
If we subtract 176 from 240, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 7285.3522 with a balance of 0.00064.