Let's divide 421264 by 35
Our goal is to divide 421264 by 35.

On to step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 35

Moving on to step 2:
42 divided by 35 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 35 from 42 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 35

Going ahead to step 3:
If we divide 71 by 35, we get 2 and a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 1 after subtracting 70 from 71.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 35

Let's proceed to step 4:
12 divided by 35 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 120.0
Subtract 0 from 12 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 35

Advancing to step 5:
35 goes into 126 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 1203.0
Deduct 105 from 126 and we're left with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 35

Going ahead to step 6:
If we divide 214 by 35, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 12036.0
Deduct 210 from 214 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.

Step 7:
35 goes into 40 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 12036.1
If we subtract 35 from 40, 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.

On to step 8:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 12036.11
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.

Our division results in 12036.11 with a remaining 0.015.