510620 ÷ 60 
We want to figure out the number of times 510620 can be divided by 60.

Going ahead to step 1:
If we divide 5 by 60, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 60

Step 2:
51 divided by 60 is 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 60

Moving on to step 3:
If we divide 510 by 60, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 480 from 510, we get 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 60

Going ahead to step 4:
The number 60 fits into 306 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 300 away from 306, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 60

On to step 5:
If we divide 62 by 60, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 851.0
If we take 60 away from 62, we end up with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 60

Let's proceed to step 6:
20 divided by 60 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8510.0
If we take 0 away from 20, 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.

On to step 7:
When dividing 200 by 60, we get 3 with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 8510.3
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 60, we get 3 with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 8510.33
If we subtract 180 from 200, we 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.

The final outcome is 8510.33, with a leftover of 0.02.