We're dividing 416782 by 60 
Our goal is to divide 416782 by 60.

Let's proceed to step 1:
When dividing 4 by 60, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 60

Advancing to step 2:
60 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 60

Let's proceed to step 3:
60 can be fit into 416 6 times, resulting in a remainder of 56.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 360 from 416 to get 56.
Include the next digit (7) from the dividend after 56, then repeat: 567 / 60

Going ahead to step 4:
60 can be fit into 567 9 times, resulting in a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 540 from 567 to get 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 60

Let's proceed to step 5:
If we divide 278 by 60, we get 4 and a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 694.0
Subtracting 240 from 278 leaves us with 38.
Grab the next digit (2) from the dividend, add it to 38, then carry on: 382 / 60

On to step 6:
60 can be fit into 382 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 6946.0
Deduct 360 from 382 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
60 goes into 220 3 times with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 6946.3
The remainder is 40 after subtracting 180 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
60 goes into 400 6 times with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 6946.36
If we subtract 360 from 400, we 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.

Going ahead to step 9:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 6946.366
If we take 360 away from 400, 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.

In conclusion, the division gives 6946.366 with a balance of 0.004.