We're dividing 155642 by 42 
Our goal is to divide 155642 by 42.

Advancing to step 1:
1 divided by 42 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 42

On to step 2:
15 divided by 42 is 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 42

Let's proceed to step 3:
When dividing 155 by 42, we get 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 126 away from 155, we end up with 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 42

Going ahead to step 4:
When dividing 296 by 42, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtract 294 from 296 to get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 42

On to step 5:
24 divided by 42 is 0 with a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 370.0
If we subtract 0 from 24, we get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 42

Advancing to step 6:
The number 42 fits into 242 5 times, leaving a remainder of 32.
Put 5 as the next digit of the answer. 
Result so far: 3705.0
If we take 210 away from 242, we end up 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 7:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 3705.7
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.

On to step 8:
When dividing 260 by 42, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3705.76
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
42 goes into 80 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 3705.761
If we take 42 away from 80, we end up 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.

Step 10:
42 goes into 380 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 3705.7619
Subtracting 378 from 380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
The number 42 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 3705.7619
If we subtract 0 from 20, we 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.

Let's proceed to step 12:
42 can be fit into 200 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 3705.761904
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 13:
The number 42 fits into 320 7 times, leaving a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 3705.7619047
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
260 divided by 42 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3705.76190476
Deduct 252 from 260 and we're left 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.

The final outcome is 3705.76190476, with a leftover of 8e-09.