We look at the division of 542953 by 88 
We're looking to find how many times 88 goes into 542953.

On to step 1:
If we divide 5 by 88, we get 0 and 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.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 88

Going ahead to step 2:
If we divide 54 by 88, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 54 after subtracting 0 from 54.
Take the next digit (2) from the dividend and append it to 54, then repeat: 542 / 88

On to step 3:
542 divided by 88 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 528 from 542 to get 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 88

Advancing to step 4:
88 can be fit into 149 1 times, resulting in a remainder of 61.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 88 from 149 to get 61.
Take the next digit (5) from the dividend and append it to 61, then repeat: 615 / 88

Going ahead to step 5:
The number 88 fits into 615 6 times, leaving a remainder of 87.
The next digit of our result is 6. 
Result so far: 616.0
Subtracting 528 from 615 leaves us with 87.
Fetch the next digit (3) from the dividend, attach it to 87 and continue: 873 / 88

On to step 6:
873 divided by 88 is 9 with a remainder of 81.
Record the quotient 9 as the next digit in the result. 
Result so far: 6169.0
If we take 792 away from 873, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 7:
810 divided by 88 is 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 6169.9
If we subtract 792 from 810, we get 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 8:
88 goes into 180 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 6169.92
Deduct 176 from 180 and we're left 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:
40 divided by 88 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6169.92
Deduct 0 from 40 and we're left 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.

Step 10:
If we divide 400 by 88, we get 4 and a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 6169.9204
The remainder is 48 after subtracting 352 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
The number 88 fits into 480 5 times, leaving a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 6169.92045
Subtract 440 from 480 to get 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 12:
The number 88 fits into 400 4 times, leaving a remainder of 48.
The next digit of our result is 4. 
Result so far: 6169.920454
If we take 352 away from 400, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
When dividing 480 by 88, we get 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 6169.9204545
Deduct 440 from 480 and we're left 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.

Moving on to step 14:
When dividing 400 by 88, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6169.92045454
The remainder is 48 after subtracting 352 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 6169.92045454 with a balance of 4.8e-08.