We're dividing 62529 by 17 
We're looking to find how many times 17 goes into 62529.

Step 1:
If we divide 6 by 17, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 17

Going ahead to step 2:
If we divide 62 by 17, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 51 from 62 leaves us with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 17

Advancing to step 3:
If we divide 115 by 17, we get 6 and a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we subtract 102 from 115, we get 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 17

On to step 4:
17 can be fit into 132 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 367.0
If we take 119 away from 132, we end up with 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 17

Moving on to step 5:
If we divide 139 by 17, we get 8 and a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 3678.0
The remainder is 3 after subtracting 136 from 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
30 divided by 17 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 3678.1
Subtracting 17 from 30 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
The number 17 fits into 130 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 3678.17
Subtract 119 from 130 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
If we divide 110 by 17, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 3678.176
The remainder is 8 after subtracting 102 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
17 can be fit into 80 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 3678.1764
If we subtract 68 from 80, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
The number 17 fits into 120 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 3678.17647
Subtract 119 from 120 to get 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 11:
The number 17 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3678.17647
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
100 divided by 17 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 3678.1764705
If we subtract 85 from 100, we 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.

Let's proceed to step 13:
The number 17 fits into 150 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 3678.17647058
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 3678.17647058 with a balance of 1.4e-08.