We're dividing 15059 by 42 
We want to figure out the number of times 15059 can be divided by 42.

Advancing to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 42

On to step 2:
When dividing 15 by 42, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 42

Advancing to step 3:
The number 42 fits into 150 3 times, leaving a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 126 from 150 and we're left with 24.
Append the next digit (5) from the dividend to 24 and continue with: 245 / 42

Going ahead to step 4:
When dividing 245 by 42, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Subtracting 210 from 245 leaves us with 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 42

Let's proceed to step 5:
42 goes into 359 8 times with a remainder of 23.
The next digit of our result is 8. 
Result so far: 358.0
Deduct 336 from 359 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 6:
230 divided by 42 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 358.5
Subtract 210 from 230 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
If we divide 200 by 42, we get 4 and a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 358.54
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
When dividing 320 by 42, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 358.547
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
The number 42 fits into 260 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 358.5476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 358.54761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
380 divided by 42 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 358.547619
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 358.547619
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 358.54761904
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 358.54761904 with a remaining 3.2e-08.