We're dividing 634565 by 35 
Let's see how many times 35 fits into 634565.

Let's proceed to step 1:
If we divide 6 by 35, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 35

Step 2:
The number 35 fits into 63 1 times, leaving a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 35 from 63 to get 28.
Fetch the next digit (4) from the dividend, attach it to 28 and continue: 284 / 35

Advancing to step 3:
When dividing 284 by 35, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtract 280 from 284 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 35

On to step 4:
45 divided by 35 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 181.0
The remainder is 10 after subtracting 35 from 45.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 35

Going ahead to step 5:
35 goes into 106 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1813.0
Subtracting 105 from 106 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 35

Let's proceed to step 6:
When dividing 15 by 35, we get 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 18130.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
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: 18130.4
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.

Let's proceed to step 8:
35 goes into 100 2 times with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 18130.42
Subtracting 70 from 100 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.

Moving on to step 9:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 18130.428
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 10:
When dividing 200 by 35, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 18130.4285
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.

Let's proceed to step 11:
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: 18130.42857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 18130.428571
Deduct 35 from 50 and we're left 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.

Advancing to step 13:
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: 18130.4285714
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.

On to step 14:
35 goes into 100 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 18130.42857142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 18130.42857142 with a remainder of 3e-08.