We divide 417229 by 60
We want to figure out the number of times 417229 can be divided by 60.

Moving on to step 1:
If we divide 4 by 60, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 60

Going ahead to step 2:
The number 60 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 60

Let's proceed to step 3:
60 can be fit into 417 6 times, resulting in a remainder of 57.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 360 from 417 leaves us with 57.
Grab the next digit (2) from the dividend, add it to 57, then carry on: 572 / 60

Advancing to step 4:
When dividing 572 by 60, we get 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we subtract 540 from 572, we get 32.
Bring next digit (2) of the dividend behind the 32 and repeat the process: 322 / 60

Going ahead to step 5:
60 can be fit into 322 5 times, resulting in a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 695.0
The remainder is 22 after subtracting 300 from 322.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 60

Advancing to step 6:
When dividing 229 by 60, we get 3 with a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 6953.0
The remainder is 49 after subtracting 180 from 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
If we divide 490 by 60, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 6953.8
Subtracting 480 from 490 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 60 is 1 with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 6953.81
If we subtract 60 from 100, 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.

Moving on to step 9:
When dividing 400 by 60, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6953.816
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.

Step 10:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 6953.8166
Deduct 360 from 400 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.

After the division, we end up with 6953.8166 and a remainder of 0.0004.