We're dividing 457025 by 35 
We're looking to find how many times 35 goes into 457025.

Let's proceed to step 1:
35 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 35

On to step 2:
The number 35 fits into 45 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 45, we get 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 35

Advancing to step 3:
107 divided by 35 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 105 from 107, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 35

Step 4:
35 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 130.0
Deduct 0 from 20 and we're left with 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 35

On to step 5:
202 divided by 35 is 5 with a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 1305.0
Subtract 175 from 202 to get 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 35

On to step 6:
When dividing 275 by 35, we get 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 13057.0
The remainder is 30 after subtracting 245 from 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
35 goes into 300 8 times with a remainder of 20.
The next digit of our result is 8. 
Result so far: 13057.8
Deduct 280 from 300 and we're left 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.

On to step 8:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 13057.85
If we subtract 175 from 200, 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.

Advancing to step 9:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 13057.857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
50 divided by 35 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 13057.8571
Subtract 35 from 50 to get 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:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 13057.85714
Subtracting 140 from 150 leaves us 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.

Moving on to step 12:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 13057.857142
Deduct 70 from 100 and we're left 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.

Moving on to step 13:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 13057.8571428
Deduct 280 from 300 and we're left 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 can be fit into 200 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 13057.85714285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 13057.85714285 with a remainder of 2.5e-08.