We look at the division of 421123 by 34 
Our goal is to divide 421123 by 34.

Moving on to step 1:
The number 34 fits into 4 0 times, leaving 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.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 34

Advancing to step 2:
34 goes into 42 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 34 from 42 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 34

Let's proceed to step 3:
If we divide 81 by 34, we get 2 and a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 68 from 81 leaves us with 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 34

On to step 4:
34 goes into 131 3 times with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
Subtracting 102 from 131 leaves us with 29.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 34

Let's proceed to step 5:
If we divide 292 by 34, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1238.0
Subtracting 272 from 292 leaves us with 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 34

Going ahead to step 6:
34 goes into 203 5 times with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 12385.0
If we take 170 away from 203, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
34 can be fit into 330 9 times, resulting in a remainder of 24.
The number 9 becomes the next digit in our result. 
Result so far: 12385.9
Deduct 306 from 330 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
34 goes into 240 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 12385.97
Subtracting 238 from 240 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 34 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12385.97
Subtract 0 from 20 to 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.

Moving on to step 10:
34 goes into 200 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 12385.9705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 12385.97058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
If we divide 280 by 34, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 12385.970588
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 12385.970588 with a remainder of 8e-07.