Let's divide 103122 by 42
We want to divide 103122 by 42.

Step 1:
The number 42 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 42

Let's proceed to step 2:
10 divided by 42 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 42

Advancing to step 3:
If we divide 103 by 42, we get 2 and a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 84 away from 103, we end up with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 42

Going ahead to step 4:
The number 42 fits into 191 4 times, leaving a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 24.0
If we take 168 away from 191, we end up with 23.
Fetch the next digit (2) from the dividend, attach it to 23 and continue: 232 / 42

Advancing to step 5:
42 goes into 232 5 times with a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 245.0
Subtract 210 from 232 to get 22.
Bring next digit (2) of the dividend behind the 22 and repeat the process: 222 / 42

Step 6:
If we divide 222 by 42, we get 5 and a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 2455.0
Deduct 210 from 222 and we're left 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.

Moving on to step 7:
If we divide 120 by 42, we get 2 and a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 2455.2
Subtracting 84 from 120 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.

Going ahead to step 8:
360 divided by 42 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 2455.28
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
240 divided by 42 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2455.285
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.

On to step 10:
300 divided by 42 is 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 2455.2857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
42 goes into 60 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 2455.28571
Subtracting 42 from 60 leaves us 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.

Step 12:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 2455.285714
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
42 goes into 120 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 2455.2857142
Subtracting 84 from 120 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.

Going ahead to step 14:
When dividing 360 by 42, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 2455.28571428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 2455.28571428, with a leftover of 2.4e-08.