We look at the division of 542629 by 53 
We're looking to find how many times 53 goes into 542629.

Let's proceed to step 1:
5 divided by 53 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 53

Step 2:
53 can be fit into 54 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 53 away from 54, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 53

Advancing to step 3:
12 divided by 53 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 12 to get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 53

Let's proceed to step 4:
When dividing 126 by 53, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 102.0
Deduct 106 from 126 and we're left with 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 53

On to step 5:
53 can be fit into 202 3 times, resulting in a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 1023.0
Subtract 159 from 202 to get 43.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 53

Moving on to step 6:
When dividing 439 by 53, we get 8 with a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 10238.0
Subtract 424 from 439 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
The number 53 fits into 150 2 times, leaving a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 10238.2
If we subtract 106 from 150, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 8:
53 goes into 440 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 10238.28
Subtract 424 from 440 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.

Advancing to step 9:
53 can be fit into 160 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 10238.283
Deduct 159 from 160 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
The number 53 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10238.283
Deduct 0 from 10 and we're left 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.

Moving on to step 11:
If we divide 100 by 53, we get 1 and a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 10238.28301
Subtracting 53 from 100 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 12:
The number 53 fits into 470 8 times, leaving a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 10238.283018
Deduct 424 from 470 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
53 can be fit into 460 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 10238.2830188
If we subtract 424 from 460, 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 final result is 10238.2830188 with a remainder of 3.6e-07.