We're dividing 35031 by 44 
We want to divide 35031 by 44.

Let's proceed to step 1:
44 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 44

Moving on to step 2:
44 can be fit into 35 0 times, resulting in a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 44

Going ahead to step 3:
When dividing 350 by 44, we get 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 308 from 350 to get 42.
Take the next digit (3) from the dividend and append it to 42, then repeat: 423 / 44

Let's proceed to step 4:
The number 44 fits into 423 9 times, leaving a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 79.0
The remainder is 27 after subtracting 396 from 423.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 44

Step 5:
If we divide 271 by 44, we get 6 and a remainder of 7.
The next digit of our result is 6. 
Result so far: 796.0
Deduct 264 from 271 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
70 divided by 44 is 1 with a remainder of 26.
The next digit of our result is 1. 
Result so far: 796.1
Deduct 44 from 70 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
44 can be fit into 260 5 times, resulting in a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 796.15
Deduct 220 from 260 and we're left 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 8:
400 divided by 44 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 796.159
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 44 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 796.159
Deduct 0 from 40 and we're left 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.

Let's proceed to step 10:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 796.15909
Deduct 396 from 400 and we're left 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.

Let's proceed to step 11:
40 divided by 44 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 796.15909
The remainder is 40 after subtracting 0 from 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 12:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 796.1590909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
44 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 796.1590909
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.

The quotient of the division is 796.1590909, and the remainder is 4e-08.