We look at the division of 15523 by 42 
We want to figure out the number of times 15523 can be divided by 42.

Going ahead to step 1:
42 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 42

Moving on to step 2:
42 goes into 15 0 times with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 42

Let's proceed to step 3:
The number 42 fits into 155 3 times, leaving a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 126 from 155, we get 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 42

Going ahead to step 4:
The number 42 fits into 292 6 times, leaving a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Deduct 252 from 292 and we're left with 40.
Fetch the next digit (3) from the dividend, attach it to 40 and continue: 403 / 42

Step 5:
The number 42 fits into 403 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 369.0
Subtracting 378 from 403 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 6:
42 goes into 250 5 times with a remainder of 40.
The next digit of our result is 5. 
Result so far: 369.5
Deduct 210 from 250 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 369.59
The remainder is 22 after subtracting 378 from 400.
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:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 369.595
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
42 goes into 100 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 369.5952
If we subtract 84 from 100, we 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.

Advancing to step 10:
The number 42 fits into 160 3 times, leaving a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 369.59523
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
340 divided by 42 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 369.595238
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 369.595238
If we subtract 0 from 40, we get 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:
When dividing 400 by 42, we get 9 with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 369.59523809
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.

After the division, we end up with 369.59523809 and a remainder of 2.2e-08.