564114 ÷ 42 
We want to divide 564114 by 42.

Moving on to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 42

Moving on to step 2:
When dividing 56 by 42, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 42 away from 56, we end up with 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 42

Going ahead to step 3:
If we divide 144 by 42, we get 3 and a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 18 after subtracting 126 from 144.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 42

Step 4:
181 divided by 42 is 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 134.0
Subtract 168 from 181 to get 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 42

Going ahead to step 5:
42 goes into 131 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 1343.0
Subtracting 126 from 131 leaves us with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 42

Advancing to step 6:
The number 42 fits into 54 1 times, leaving a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 13431.0
Subtracting 42 from 54 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.

Step 7:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 13431.2
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.

Let's proceed to step 8:
When dividing 360 by 42, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 13431.28
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.

Advancing to step 9:
42 goes into 240 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13431.285
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.

Moving on to step 10:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 13431.2857
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.

Step 11:
If we divide 60 by 42, we get 1 and a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 13431.28571
Deduct 42 from 60 and we're left 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.

Step 12:
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: 13431.285714
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.

Step 13:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 13431.2857142
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 14:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 13431.28571428
If we take 336 away from 360, we end up 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.

The quotient of the division is 13431.28571428, and the remainder is 2.4e-08.