We look at the division of 7128 by 62 
We're looking to find how many times 62 goes into 7128.

On to step 1:
When dividing 7 by 62, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 62

Let's proceed to step 2:
If we divide 71 by 62, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 62 from 71, we get 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 62

On to step 3:
If we divide 92 by 62, we get 1 and a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 62 from 92 to get 30.
Fetch the next digit (8) from the dividend, attach it to 30 and continue: 308 / 62

On to step 4:
If we divide 308 by 62, we get 4 and a remainder of 60.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtract 248 from 308 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 5:
When dividing 600 by 62, we get 9 with a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 114.9
Deduct 558 from 600 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
When dividing 420 by 62, we get 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 114.96
Deduct 372 from 420 and we're left 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.

Let's proceed to step 7:
The number 62 fits into 480 7 times, leaving a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 114.967
Subtract 434 from 480 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
460 divided by 62 is 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 114.9677
Subtracting 434 from 460 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 114.9677 with a remainder of 0.00026.