155683 ÷ 42 
Our goal is to divide 155683 by 42.

Going ahead to step 1:
42 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 42

Moving on to step 2:
The number 42 fits into 15 0 times, leaving a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 42

On 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
Subtract 126 from 155 to get 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 42

Advancing to step 4:
If we divide 296 by 42, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 294 from 296, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 42

Let's proceed to step 5:
If we divide 28 by 42, we get 0 and a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 370.0
If we subtract 0 from 28, we get 28.
Grab the next digit (3) from the dividend, add it to 28, then carry on: 283 / 42

Going ahead to step 6:
When dividing 283 by 42, we get 6 with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 3706.0
The remainder is 31 after subtracting 252 from 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
310 divided by 42 is 7 with a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 3706.7
Subtracting 294 from 310 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 3706.73
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.

Going ahead to step 9:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3706.738
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.

Step 10:
40 divided by 42 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 3706.738
Subtracting 0 from 40 leaves us 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 11:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 3706.73809
If we take 378 away from 400, we end up 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.

Advancing to step 12:
220 divided by 42 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3706.738095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
When dividing 100 by 42, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 3706.7380952
Subtracting 84 from 100 leaves us with 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 14:
160 divided by 42 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 3706.73809523
Subtracting 126 from 160 leaves us 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.

After the division, we end up with 3706.73809523 and a remainder of 3.4e-08.