We're dividing 101869 by 42 
We want to figure out the number of times 101869 can be divided by 42.

Advancing to step 1:
42 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 42

Let's proceed to 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 (1) from the dividend after 10, then repeat: 101 / 42

Let's proceed to step 3:
101 divided by 42 is 2 with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 84 from 101 to get 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 42

Step 4:
When dividing 178 by 42, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 24.0
If we take 168 away from 178, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 42

Advancing to step 5:
When dividing 106 by 42, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 242.0
The remainder is 22 after subtracting 84 from 106.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 42

Step 6:
42 goes into 229 5 times with a remainder of 19.
The next digit of our result is 5. 
Result so far: 2425.0
If we subtract 210 from 229, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
If we divide 190 by 42, we get 4 and a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 2425.4
Subtracting 168 from 190 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
42 goes into 220 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2425.45
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 42, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 2425.452
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 2425.4523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
If we divide 340 by 42, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 2425.45238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
When dividing 40 by 42, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 2425.45238
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
400 divided by 42 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 2425.4523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 14:
If we divide 220 by 42, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2425.45238095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 2425.45238095 with a remainder of 1e-08.