We're dividing 10537 by 42 
We want to divide 10537 by 42.

Step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 42

On to step 2:
The number 42 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 42

Advancing to step 3:
If we divide 105 by 42, we get 2 and a remainder of 21.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 84 from 105, we get 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 42

Advancing to step 4:
42 can be fit into 213 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 25.0
Subtracting 210 from 213 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 42

Moving on to step 5:
37 divided by 42 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 250.0
If we subtract 0 from 37, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
370 divided by 42 is 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 250.8
Subtract 336 from 370 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 250.88
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 250.88, and the remainder is 0.004.