537607 ÷ 42 
Our goal is to divide 537607 by 42.

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
If we take 0 away from 5, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 42

Moving on to step 2:
53 divided by 42 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 53, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 42

Advancing to step 3:
If we divide 117 by 42, we get 2 and a remainder of 33.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 84 from 117 to get 33.
Grab the next digit (6) from the dividend, add it to 33, then carry on: 336 / 42

Advancing to step 4:
When dividing 336 by 42, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 128.0
Subtract 336 from 336 to get 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 42

Advancing to step 5:
42 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 1280.0
If we take 0 away from 0, we end up with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 42

Step 6:
The number 42 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 12800.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
If we divide 70 by 42, we get 1 and a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 12800.1
The remainder is 28 after subtracting 42 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
If we divide 280 by 42, we get 6 and a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 12800.16
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 12800.166
The remainder is 28 after subtracting 252 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 12800.166, and the remainder is 0.0028.