We look at the division of 100878 by 42 
We want to figure out the number of times 100878 can be divided by 42.

Moving on to step 1:
42 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 42

Let's proceed to step 2:
If we divide 10 by 42, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 42

On to step 3:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 84 from 100 leaves us with 16.
Append the next digit (8) from the dividend to 16 and continue with: 168 / 42

Let's proceed to step 4:
If we divide 168 by 42, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 0 after subtracting 168 from 168.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 42

Moving on to step 5:
7 divided by 42 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 240.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 42

Let's proceed to step 6:
42 goes into 78 1 times with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 2401.0
Deduct 42 from 78 and we're left 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.

Moving on 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: 2401.8
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.

Step 8:
240 divided by 42 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2401.85
Deduct 210 from 240 and we're left with 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 9:
42 goes into 300 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 2401.857
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
42 goes into 60 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 2401.8571
If we take 42 away from 60, we end up 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 11:
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: 2401.85714
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.

Let's proceed to step 12:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 2401.857142
If we subtract 84 from 120, we get 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 can be fit into 360 8 times, resulting in a remainder of 24.
The next digit of our result is 8. 
Result so far: 2401.8571428
Subtracting 336 from 360 leaves us 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.

Going ahead to step 14:
42 goes into 240 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2401.85714285
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 2401.85714285 and a remainder of 3e-08.