We're dividing 16339 by 62 
Our goal is to divide 16339 by 62.

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
The remainder is 1 after subtracting 0 from 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 62

On to step 2:
16 divided by 62 is 0 with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 62

Step 3:
62 goes into 163 2 times with a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 124 from 163 leaves us with 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 62

Step 4:
The number 62 fits into 393 6 times, leaving a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 21 after subtracting 372 from 393.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 62

On to step 5:
219 divided by 62 is 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 263.0
If we subtract 186 from 219, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 6:
When dividing 330 by 62, we get 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 263.5
If we subtract 310 from 330, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
If we divide 200 by 62, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 263.53
If we subtract 186 from 200, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
62 can be fit into 140 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 263.532
Subtract 124 from 140 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
62 can be fit into 160 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 263.5322
The remainder is 36 after subtracting 124 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 263.5322, and the remainder is 0.00036.