We're dividing 546564 by 42 
We want to figure out the number of times 546564 can be divided by 42.

On to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 42

Let's proceed to step 2:
If we divide 54 by 42, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 42 from 54 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 42

Advancing to step 3:
If we divide 126 by 42, we get 3 and a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 126 away from 126, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 42

Going ahead to step 4:
The number 42 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 130.0
Subtract 0 from 5 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 42

Step 5:
56 divided by 42 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1301.0
If we subtract 42 from 56, we get 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 42

Let's proceed to step 6:
42 goes into 144 3 times with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13013.0
The remainder is 18 after subtracting 126 from 144.
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 7:
When dividing 180 by 42, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 13013.4
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.

Advancing to step 8:
42 goes into 120 2 times with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 13013.42
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.

On to step 9:
42 goes into 360 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 13013.428
If we subtract 336 from 360, we 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.

Let's proceed to step 10:
When dividing 240 by 42, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13013.4285
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.

Moving on to step 11:
300 divided by 42 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 13013.42857
Subtract 294 from 300 to 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 12:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 13013.428571
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.

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: 13013.4285714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to 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: 13013.42857142
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 quotient of the division is 13013.42857142, and the remainder is 3.6e-08.