We look at the division of 944033 by 88 
Our goal is to divide 944033 by 88.

Going ahead to step 1:
If we divide 9 by 88, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 88

Let's proceed to step 2:
When dividing 94 by 88, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 88 from 94 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 88

Advancing to step 3:
88 can be fit into 64 0 times, resulting in a remainder of 64.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 64, we get 64.
Include the next digit (0) from the dividend after 64, then repeat: 640 / 88

On to step 4:
The number 88 fits into 640 7 times, leaving a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 107.0
If we subtract 616 from 640, we get 24.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 88

Advancing to step 5:
When dividing 243 by 88, we get 2 with a remainder of 67.
Put 2 as the next digit of the answer. 
Result so far: 1072.0
The remainder is 67 after subtracting 176 from 243.
Take the next digit (3) from the dividend and append it to 67, then repeat: 673 / 88

Step 6:
The number 88 fits into 673 7 times, leaving a remainder of 57.
The next digit of our result is 7. 
Result so far: 10727.0
If we subtract 616 from 673, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
88 can be fit into 570 6 times, resulting in a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 10727.6
Deduct 528 from 570 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
If we divide 420 by 88, we get 4 and a remainder of 68.
Use 4 as the next digit of our solution. 
Result so far: 10727.64
The remainder is 68 after subtracting 352 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 9:
When dividing 680 by 88, we get 7 with a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 10727.647
Subtracting 616 from 680 leaves us 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.

Advancing to step 10:
If we divide 640 by 88, we get 7 and a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 10727.6477
The remainder is 24 after subtracting 616 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 10727.6477 with a balance of 0.00024.