We're dividing 829561 by 66 
We're looking to find how many times 66 goes into 829561.

Moving on to step 1:
If we divide 8 by 66, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 66

Step 2:
66 can be fit into 82 1 times, resulting in a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 66 from 82 leaves us with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 66

On to step 3:
66 goes into 169 2 times with a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 132 away from 169, we end up with 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 66

Advancing to step 4:
When dividing 375 by 66, we get 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Deduct 330 from 375 and we're left with 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 66

Step 5:
If we divide 456 by 66, we get 6 and a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 1256.0
Subtract 396 from 456 to get 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 66

Let's proceed to step 6:
When dividing 601 by 66, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 12569.0
Subtracting 594 from 601 leaves us with 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 66 fits into 70 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 12569.1
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
66 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 12569.1
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
66 can be fit into 400 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 12569.106
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
The number 66 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 12569.106
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 66, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 12569.10606
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
40 divided by 66 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12569.10606
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
66 can be fit into 400 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 12569.1060606
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
66 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12569.1060606
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 12569.1060606, with a leftover of 4e-08.