We're dividing 569166 by 42 
We're looking to find how many times 42 goes into 569166.

Moving on to step 1:
42 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 42

Advancing 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
The remainder is 14 after subtracting 42 from 56.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 42

On to step 3:
The number 42 fits into 149 3 times, leaving a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 126 from 149 and we're left with 23.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 42

On to step 4:
The number 42 fits into 231 5 times, leaving a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
If we subtract 210 from 231, we get 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 42

Going ahead to step 5:
216 divided by 42 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 1355.0
Deduct 210 from 216 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 42

Step 6:
If we divide 66 by 42, we get 1 and a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 13551.0
The remainder is 24 after subtracting 42 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13551.5
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.

Going ahead to step 8:
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: 13551.57
If we take 294 away from 300, we end up 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.

On to step 9:
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: 13551.571
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.

On to step 10:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 13551.5714
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.

Step 11:
42 goes into 120 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 13551.57142
Subtract 84 from 120 to 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.

Moving on to step 12:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 13551.571428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
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: 13551.5714285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
If we divide 300 by 42, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 13551.57142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 13551.57142857 with a remaining 6e-09.