We're dividing 431174 by 35 
Our goal is to divide 431174 by 35.

Going ahead to step 1:
35 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 35

Let's proceed to step 2:
The number 35 fits into 43 1 times, leaving a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 35 from 43 leaves us with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 35

Advancing to step 3:
35 can be fit into 81 2 times, resulting in a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 70 away from 81, we end up with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 35

Going ahead to step 4:
35 goes into 111 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
The remainder is 6 after subtracting 105 from 111.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 35

Advancing to step 5:
If we divide 67 by 35, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1231.0
Subtracting 35 from 67 leaves us with 32.
Bring next digit (4) of the dividend behind the 32 and repeat the process: 324 / 35

Moving on to step 6:
If we divide 324 by 35, we get 9 and a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 12319.0
If we take 315 away from 324, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
35 goes into 90 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 12319.2
If we subtract 70 from 90, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
35 goes into 200 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 12319.25
Subtracting 175 from 200 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
If we divide 250 by 35, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 12319.257
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
35 goes into 50 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 12319.2571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
When dividing 150 by 35, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 12319.25714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 12319.257142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 12319.2571428
Subtracting 280 from 300 leaves us 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.

Going ahead to step 14:
35 goes into 200 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 12319.25714285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 12319.25714285 and a remainder of 2.5e-08.