Let's divide 361599 by 42
Our goal is to divide 361599 by 42.

On to step 1:
3 divided by 42 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 42

Advancing to step 2:
When dividing 36 by 42, we get 0 with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 42

Step 3:
42 can be fit into 361 8 times, resulting in a remainder of 25.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 336 from 361 to get 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 42

On to step 4:
When dividing 255 by 42, we get 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 86.0
Subtract 252 from 255 to get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 42

Moving on to step 5:
42 goes into 39 0 times with a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 860.0
If we take 0 away from 39, we end up with 39.
Bring next digit (9) of the dividend behind the 39 and repeat the process: 399 / 42

On to step 6:
42 goes into 399 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 8609.0
Deduct 378 from 399 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
210 divided by 42 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 8609.5
If we take 210 away from 210, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
42 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8609.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
42 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 8609.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 8609.5 and a remainder of 0.0.