35583 divided by 42 
Our goal is to divide 35583 by 42.

Going ahead to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 42

On to step 2:
42 can be fit into 35 0 times, resulting in a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (5) from the dividend, attach it to 35 and continue: 355 / 42

Advancing to step 3:
If we divide 355 by 42, we get 8 and a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 336 from 355 and we're left with 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 42

On to step 4:
When dividing 198 by 42, we get 4 with a remainder of 30.
The next digit of our result is 4. 
Result so far: 84.0
The remainder is 30 after subtracting 168 from 198.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 42

Step 5:
42 goes into 303 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 847.0
If we subtract 294 from 303, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
42 goes into 90 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 847.2
If we subtract 84 from 90, 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.

On to step 7:
60 divided by 42 is 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 847.21
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 847.214
Deduct 168 from 180 and we're left 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.

On to step 9:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 847.2142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 847.21428
Subtracting 336 from 360 leaves us 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 11:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 847.214285
Subtract 210 from 240 to get 30.
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 12:
If we divide 300 by 42, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 847.2142857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 847.21428571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 847.21428571 and a remainder of 1.8e-08.