We look at the division of 107346 by 42 
Our goal is to divide 107346 by 42.

On to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 42

Step 2:
42 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 42

Going ahead to step 3:
42 goes into 107 2 times with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 23 after subtracting 84 from 107.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 42

Moving on to step 4:
If we divide 233 by 42, we get 5 and a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we take 210 away from 233, we end up with 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 42

Advancing to step 5:
When dividing 234 by 42, we get 5 with a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 255.0
Deduct 210 from 234 and we're left with 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 42

On to step 6:
246 divided by 42 is 5 with a remainder of 36.
Write down 5 as next digit of the result. 
Result so far: 2555.0
Subtracting 210 from 246 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The next digit of our result is 8. 
Result so far: 2555.8
The remainder is 24 after subtracting 336 from 360.
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:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2555.85
Subtract 210 from 240 to 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 9:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 2555.857
Subtracting 294 from 300 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 2555.8571
Subtract 42 from 60 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
42 goes into 180 4 times with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 2555.85714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 2555.857142
If we take 84 away from 120, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
42 goes into 360 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 2555.8571428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
When dividing 240 by 42, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2555.85714285
If we subtract 210 from 240, 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.

Our division results in 2555.85714285 with a remaining 3e-08.