Let's divide 419270 by 60
We want to figure out the number of times 419270 can be divided by 60.

Moving on to step 1:
60 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 60

Going ahead to step 2:
If we divide 41 by 60, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 60

Let's proceed to step 3:
60 can be fit into 419 6 times, resulting in a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 59 after subtracting 360 from 419.
Grab the next digit (2) from the dividend, add it to 59, then carry on: 592 / 60

On to step 4:
592 divided by 60 is 9 with a remainder of 52.
The next digit of our result is 9. 
Result so far: 69.0
Subtract 540 from 592 to get 52.
Take the next digit (7) from the dividend and append it to 52, then repeat: 527 / 60

Advancing to step 5:
The number 60 fits into 527 8 times, leaving a remainder of 47.
The number 8 becomes the next digit in our result. 
Result so far: 698.0
The remainder is 47 after subtracting 480 from 527.
Grab the next digit (0) from the dividend, add it to 47, then carry on: 470 / 60

Moving on to step 6:
If we divide 470 by 60, we get 7 and a remainder of 50.
The next digit of our result is 7. 
Result so far: 6987.0
If we take 420 away from 470, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
If we divide 500 by 60, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 6987.8
Subtracting 480 from 500 leaves us 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.

Advancing to step 8:
When dividing 200 by 60, we get 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 6987.83
Subtracting 180 from 200 leaves us 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.

Step 9:
200 divided by 60 is 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 6987.833
If we take 180 away from 200, we end up 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 6987.833 with a remaining 0.002.