Let's divide 185561 by 42
We want to divide 185561 by 42.

Advancing to step 1:
1 divided by 42 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 42

Going ahead to step 2:
The number 42 fits into 18 0 times, leaving a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 42

Advancing to step 3:
42 goes into 185 4 times with a remainder of 17.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 168 from 185, we get 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 42

Moving on to step 4:
175 divided by 42 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we subtract 168 from 175, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 42

Step 5:
42 can be fit into 76 1 times, resulting in a remainder of 34.
The next digit of our result is 1. 
Result so far: 441.0
If we take 42 away from 76, we end up with 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 42

Moving on to step 6:
The number 42 fits into 341 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 4418.0
Subtract 336 from 341 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 42 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 4418.1
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.

Moving on to step 8:
42 goes into 80 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 4418.11
The remainder is 38 after subtracting 42 from 80.
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 4418.11, and the remainder is 0.038.