We look at the division of 569274 by 42 
We want to divide 569274 by 42.

Step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 42

On to step 2:
If we divide 56 by 42, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 42 from 56 to get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 42

Let's proceed to step 3:
42 can be fit into 149 3 times, resulting in a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 126 away from 149, we end up with 23.
Append the next digit (2) from the dividend to 23 and continue with: 232 / 42

On to step 4:
42 can be fit into 232 5 times, resulting in a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 135.0
If we subtract 210 from 232, we get 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 42

Step 5:
42 goes into 227 5 times with a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 1355.0
If we take 210 away from 227, we end up with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 42

Step 6:
174 divided by 42 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 13554.0
Subtracting 168 from 174 leaves us 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.

Advancing to step 7:
42 goes into 60 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 13554.1
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.

Step 8:
When dividing 180 by 42, we get 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 13554.14
Subtracting 168 from 180 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.

On to step 9:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 13554.142
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.

Going ahead to step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 13554.1428
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.

On to step 11:
42 can be fit into 240 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 13554.14285
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.

Step 12:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 13554.142857
Subtracting 294 from 300 leaves us 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:
When dividing 60 by 42, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 13554.1428571
Subtract 42 from 60 to 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.

Step 14:
42 goes into 180 4 times with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 13554.14285714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 13554.14285714 with a remainder of 1.2e-08.