We divide 412829 by 60
We want to figure out the number of times 412829 can be divided by 60.

Advancing to step 1:
60 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 60

Advancing to step 2:
60 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 60

Let's proceed to step 3:
If we divide 412 by 60, we get 6 and a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 360 from 412, we get 52.
Take the next digit (8) from the dividend and append it to 52, then repeat: 528 / 60

Advancing to step 4:
528 divided by 60 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we take 480 away from 528, we end up with 48.
Bring next digit (2) of the dividend behind the 48 and repeat the process: 482 / 60

Advancing to step 5:
482 divided by 60 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 688.0
The remainder is 2 after subtracting 480 from 482.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 60

Let's proceed to step 6:
The number 60 fits into 29 0 times, leaving a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 6880.0
Subtracting 0 from 29 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
If we divide 290 by 60, we get 4 and a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 6880.4
If we subtract 240 from 290, we get 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:
The number 60 fits into 500 8 times, leaving a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 6880.48
The remainder is 20 after subtracting 480 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 6880.483
Subtract 180 from 200 to 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.

On to step 10:
If we divide 200 by 60, we get 3 and a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 6880.4833
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 6880.4833 with a remaining 0.0002.