We look at the division of 331697 by 44 
Our goal is to divide 331697 by 44.

Step 1:
3 divided by 44 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 44

Moving on to step 2:
When dividing 33 by 44, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 44

Going ahead to step 3:
When dividing 331 by 44, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 308 from 331 to get 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 44

On to step 4:
When dividing 236 by 44, we get 5 with a remainder of 16.
The next digit of our result is 5. 
Result so far: 75.0
Deduct 220 from 236 and we're left with 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 44

Going ahead to step 5:
When dividing 169 by 44, we get 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 753.0
Subtract 132 from 169 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 44

Step 6:
The number 44 fits into 377 8 times, leaving a remainder of 25.
The next digit of our result is 8. 
Result so far: 7538.0
If we subtract 352 from 377, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
44 goes into 250 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 7538.5
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
44 goes into 300 6 times with a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 7538.56
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
If we divide 360 by 44, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7538.568
Deduct 352 from 360 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
44 can be fit into 80 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 7538.5681
Subtract 44 from 80 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
360 divided by 44 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 7538.56818
Deduct 352 from 360 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 44, we get 1 and a remainder of 36.
The next digit of our result is 1. 
Result so far: 7538.568181
Subtracting 44 from 80 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
If we divide 360 by 44, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7538.5681818
Subtracting 352 from 360 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
If we divide 80 by 44, we get 1 and a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 7538.56818181
If we subtract 44 from 80, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 7538.56818181 with a remaining 3.6e-08.