We're dividing 5935375 by 829 
We want to divide 5935375 by 829.

Going ahead to step 1:
829 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 829

Going ahead to step 2:
59 divided by 829 is 0 with a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 59 after subtracting 0 from 59.
Fetch the next digit (3) from the dividend, attach it to 59 and continue: 593 / 829

Step 3:
When dividing 593 by 829, we get 0 with a remainder of 593.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 593 leaves us with 593.
Grab the next digit (5) from the dividend, add it to 593, then carry on: 5935 / 829

Advancing to step 4:
When dividing 5935 by 829, we get 7 with a remainder of 132.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 5803 from 5935 leaves us with 132.
Bring next digit (3) of the dividend behind the 132 and repeat the process: 1323 / 829

Step 5:
829 goes into 1323 1 times with a remainder of 494.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Deduct 829 from 1323 and we're left with 494.
Append the next digit (7) from the dividend to 494 and continue with: 4947 / 829

On to step 6:
829 can be fit into 4947 5 times, resulting in a remainder of 802.
Put 5 as the next digit of the answer. 
Result so far: 715.0
Deduct 4145 from 4947 and we're left with 802.
Append the next digit (5) from the dividend to 802 and continue with: 8025 / 829

Advancing to step 7:
8025 divided by 829 is 9 with a remainder of 564.
Record the quotient 9 as the next digit in the result. 
Result so far: 7159.0
Subtracting 7461 from 8025 leaves us with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Advancing to step 8:
829 goes into 5640 6 times with a remainder of 666.
The next digit of our result is 6. 
Result so far: 7159.6
Deduct 4974 from 5640 and we're left with 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Step 9:
829 can be fit into 6660 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 7159.68
Deduct 6632 from 6660 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
The number 829 fits into 280 0 times, leaving a remainder of 280.
The next digit of our result is 0. 
Result so far: 7159.68
If we take 0 away from 280, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 11:
829 can be fit into 2800 3 times, resulting in a remainder of 313.
The next digit of our result is 3. 
Result so far: 7159.6803
Subtracting 2487 from 2800 leaves us with 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

On to step 12:
829 goes into 3130 3 times with a remainder of 643.
Use 3 as the next digit of our solution. 
Result so far: 7159.68033
Subtracting 2487 from 3130 leaves us with 643.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6430, and continue the process.

In conclusion, the division gives 7159.68033 with a balance of 0.000643.