We look at the division of 829300 by 61 
We're looking to find how many times 61 goes into 829300.

On to step 1:
61 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 61

Moving on to step 2:
82 divided by 61 is 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 61 from 82 to get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 61

Moving on to step 3:
The number 61 fits into 219 3 times, leaving a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 183 away from 219, we end up with 36.
Append the next digit (3) from the dividend to 36 and continue with: 363 / 61

Step 4:
If we divide 363 by 61, we get 5 and a remainder of 58.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
If we subtract 305 from 363, we get 58.
Include the next digit (0) from the dividend after 58, then repeat: 580 / 61

Step 5:
61 can be fit into 580 9 times, resulting in a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 1359.0
Deduct 549 from 580 and we're left with 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 61

Moving on to step 6:
The number 61 fits into 310 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 13595.0
If we subtract 305 from 310, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
The number 61 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 13595.0
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
If we divide 500 by 61, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13595.08
Deduct 488 from 500 and we're left with 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 9:
61 can be fit into 120 1 times, resulting in a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 13595.081
Deduct 61 from 120 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 10:
590 divided by 61 is 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 13595.0819
Subtracting 549 from 590 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 11:
410 divided by 61 is 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 13595.08196
If we subtract 366 from 410, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
If we divide 440 by 61, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 13595.081967
Deduct 427 from 440 and we're left 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.

Advancing to step 13:
130 divided by 61 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 13595.0819672
Deduct 122 from 130 and we're left 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.

Moving on to step 14:
61 can be fit into 80 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 13595.08196721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 13595.08196721 with a remainder of 1.9e-08.