We're dividing 369637 by 35 
Our goal is to divide 369637 by 35.

Advancing to step 1:
If we divide 3 by 35, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 35

Moving on to step 2:
35 goes into 36 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 36, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 35

Going ahead to step 3:
When dividing 19 by 35, we get 0 with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 19 leaves us with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 35

On to step 4:
When dividing 196 by 35, we get 5 with a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Deduct 175 from 196 and we're left with 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 35

Moving on to step 5:
The number 35 fits into 213 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 1056.0
Subtracting 210 from 213 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 35

Advancing to step 6:
When dividing 37 by 35, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 10561.0
The remainder is 2 after subtracting 35 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
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: 10561.0
Deduct 0 from 20 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.

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: 10561.05
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.

Step 9:
When dividing 250 by 35, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 10561.057
If we take 245 away from 250, we end up 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.

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: 10561.0571
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.

Advancing to step 11:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 10561.05714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
35 goes into 100 2 times with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 10561.057142
If we take 70 away from 100, we end up 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.

Step 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 10561.0571428
If we subtract 280 from 300, 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.

On to step 14:
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: 10561.05714285
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.

Our division results in 10561.05714285 with a remaining 2.5e-08.