184637 ÷ 42 
Our goal is to divide 184637 by 42.

Advancing to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 42

Advancing to step 2:
If we divide 18 by 42, we get 0 and a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 42

Moving on to step 3:
42 can be fit into 184 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 168 from 184 leaves us with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 42

Advancing to step 4:
If we divide 166 by 42, we get 3 and a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 43.0
If we take 126 away from 166, we end up with 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 42

Going ahead to step 5:
403 divided by 42 is 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 439.0
The remainder is 25 after subtracting 378 from 403.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 42

Moving on to step 6:
42 goes into 257 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 4396.0
The remainder is 5 after subtracting 252 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 42 fits into 50 1 times, leaving a remainder of 8.
The next digit of our result is 1. 
Result so far: 4396.1
Deduct 42 from 50 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.

On to step 8:
The number 42 fits into 80 1 times, leaving a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 4396.11
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 4396.11, and the remainder is 0.038.