53688 ÷ 42 
Let's see how many times 42 fits into 53688.

Going ahead to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 42

Step 2:
42 goes into 53 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 42 from 53 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 42

Moving on to step 3:
If we divide 116 by 42, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 84 from 116 to get 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 42

Advancing to step 4:
If we divide 328 by 42, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 127.0
Deduct 294 from 328 and we're left with 34.
Append the next digit (8) from the dividend to 34 and continue with: 348 / 42

Moving on to step 5:
The number 42 fits into 348 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1278.0
If we take 336 away from 348, 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 6:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 1278.2
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.

Moving on to step 7:
42 goes into 360 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 1278.28
Subtract 336 from 360 to 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.

Step 8:
240 divided by 42 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 1278.285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
42 goes into 300 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 1278.2857
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.

Moving on to step 10:
When dividing 60 by 42, we get 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1278.28571
If we take 42 away from 60, we end up 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 11:
When dividing 180 by 42, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 1278.285714
Deduct 168 from 180 and we're left 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.

On to step 12:
If we divide 120 by 42, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 1278.2857142
Subtracting 84 from 120 leaves us 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 13:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 1278.28571428
The remainder is 24 after subtracting 336 from 360.
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 1278.28571428, and the remainder is 2.4e-08.