We're dividing 359643 by 42 
We want to divide 359643 by 42.

On to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 42

Moving on to step 2:
42 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 42

Advancing to step 3:
If we divide 359 by 42, we get 8 and a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 336 away from 359, we end up with 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 42

Let's proceed to step 4:
If we divide 236 by 42, we get 5 and a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 85.0
If we take 210 away from 236, we end up with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 42

Moving on to step 5:
42 can be fit into 264 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 856.0
The remainder is 12 after subtracting 252 from 264.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 42

Let's proceed to step 6:
If we divide 123 by 42, we get 2 and a remainder of 39.
The number 2 becomes the next digit in our result. 
Result so far: 8562.0
Subtract 84 from 123 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
42 goes into 390 9 times with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 8562.9
Subtracting 378 from 390 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
42 goes into 120 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 8562.92
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
360 divided by 42 is 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8562.928
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
When dividing 240 by 42, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 8562.9285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 8562.92857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 8562.928571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 8562.9285714
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
When dividing 120 by 42, we get 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 8562.92857142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 8562.92857142 with a remainder of 3.6e-08.