Let's divide 421278 by 35
Let's see how many times 35 fits into 421278.

Advancing to step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 35

Moving on to step 2:
The number 35 fits into 42 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 35 from 42, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 35

On to step 3:
71 divided by 35 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 70 from 71, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 35

Going ahead to step 4:
12 divided by 35 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 120.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 35

Moving on to step 5:
The number 35 fits into 127 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 1203.0
Deduct 105 from 127 and we're left with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 35

Step 6:
35 can be fit into 228 6 times, resulting in a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 12036.0
Deduct 210 from 228 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
If we divide 180 by 35, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 12036.5
If we subtract 175 from 180, 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.

Step 8:
If we divide 50 by 35, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 12036.51
If we take 35 away from 50, we end up 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.

Going ahead to step 9:
If we divide 150 by 35, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 12036.514
If we take 140 away from 150, we end up 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 10:
35 goes into 100 2 times with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 12036.5142
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.

On to step 11:
If we divide 300 by 35, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 12036.51428
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.

Step 12:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 12036.514285
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.

Going ahead to step 13:
35 goes into 250 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 12036.5142857
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.

Going ahead to step 14:
If we divide 50 by 35, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 12036.51428571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 12036.51428571, and the remainder is 1.5e-08.