We look at the division of 126393 by 34 
We want to figure out the number of times 126393 can be divided by 34.

Advancing to step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 34

Advancing to step 2:
When dividing 12 by 34, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 34

Moving on to step 3:
126 divided by 34 is 3 with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 102 from 126 to get 24.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 34

Going ahead to step 4:
If we divide 243 by 34, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we subtract 238 from 243, we get 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 34

Step 5:
34 can be fit into 59 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 371.0
Subtract 34 from 59 to get 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 34

Going ahead to step 6:
253 divided by 34 is 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 3717.0
If we take 238 away from 253, 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.

On to step 7:
When dividing 150 by 34, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 3717.4
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
140 divided by 34 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 3717.44
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 3717.44, and the remainder is 0.004.