142646 ÷ 53 
We want to figure out the number of times 142646 can be divided by 53.

Advancing to step 1:
53 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 53

Advancing to step 2:
53 can be fit into 14 0 times, resulting in a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 53

Moving on to step 3:
53 can be fit into 142 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 106 from 142 and we're left with 36.
Append the next digit (6) from the dividend to 36 and continue with: 366 / 53

Going ahead to step 4:
366 divided by 53 is 6 with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 318 from 366 to get 48.
Bring next digit (4) of the dividend behind the 48 and repeat the process: 484 / 53

Advancing to step 5:
When dividing 484 by 53, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 269.0
The remainder is 7 after subtracting 477 from 484.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 53

Moving on to step 6:
If we divide 76 by 53, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 2691.0
The remainder is 23 after subtracting 53 from 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 53 fits into 230 4 times, leaving a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 2691.4
The remainder is 18 after subtracting 212 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
The number 53 fits into 180 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 2691.43
Subtracting 159 from 180 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
The number 53 fits into 210 3 times, leaving a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 2691.433
If we take 159 away from 210, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 2691.433 with a remainder of 0.0051.