We look at the division of 114521 by 62 
We want to figure out the number of times 114521 can be divided by 62.

Advancing to step 1:
62 goes into 1 0 times with 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.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 62

On to step 2:
When dividing 11 by 62, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 62

On to step 3:
62 goes into 114 1 times with a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 62 from 114 to get 52.
Append the next digit (5) from the dividend to 52 and continue with: 525 / 62

On to step 4:
When dividing 525 by 62, we get 8 with a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 496 from 525, we get 29.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 62

Moving on to step 5:
The number 62 fits into 292 4 times, leaving a remainder of 44.
The next digit of our result is 4. 
Result so far: 184.0
If we take 248 away from 292, we end up with 44.
Append the next digit (1) from the dividend to 44 and continue with: 441 / 62

Let's proceed to step 6:
The number 62 fits into 441 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 1847.0
Subtract 434 from 441 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
The number 62 fits into 70 1 times, leaving a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1847.1
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
62 can be fit into 80 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 1847.11
If we take 62 away from 80, 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.

In conclusion, the division gives 1847.11 with a balance of 0.018.