We're dividing 10762 by 42 
Let's see how many times 42 fits into 10762.

Let's proceed to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 42

Let's proceed to step 2:
10 divided by 42 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 42

Step 3:
42 goes into 107 2 times with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 23 after subtracting 84 from 107.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 42

On to step 4:
236 divided by 42 is 5 with a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtract 210 from 236 to get 26.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 42

Let's proceed to step 5:
42 goes into 262 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 256.0
If we take 252 away from 262, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 6:
100 divided by 42 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 256.2
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 256.23
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 256.238
If we take 336 away from 340, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 256.238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
When dividing 400 by 42, we get 9 with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 256.23809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
220 divided by 42 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 256.238095
Subtract 210 from 220 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
If we divide 100 by 42, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 256.2380952
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The next digit of our result is 3. 
Result so far: 256.23809523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 256.23809523, and the remainder is 3.4e-08.