We look at the division of 565060 by 60 
We want to figure out the number of times 565060 can be divided by 60.

Moving on to step 1:
When dividing 5 by 60, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 60

Let's proceed to step 2:
If we divide 56 by 60, we get 0 and a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Take the next digit (5) from the dividend and append it to 56, then repeat: 565 / 60

Advancing to step 3:
If we divide 565 by 60, we get 9 and a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 540 from 565 to get 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 60

Let's proceed to step 4:
The number 60 fits into 250 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
If we take 240 away from 250, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 60

Advancing to step 5:
The number 60 fits into 106 1 times, leaving a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 941.0
Deduct 60 from 106 and we're left with 46.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 60

Moving on to step 6:
The number 60 fits into 460 7 times, leaving a remainder of 40.
The next digit of our result is 7. 
Result so far: 9417.0
If we take 420 away from 460, 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.

Advancing to step 7:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 9417.6
Subtracting 360 from 400 leaves us 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.

Step 8:
400 divided by 60 is 6 with a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 9417.66
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.

The final outcome is 9417.66, with a leftover of 0.04.