We're dividing 626612 by 60 
We're looking to find how many times 60 goes into 626612.

Step 1:
6 divided by 60 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 60

On to step 2:
60 goes into 62 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 60 from 62 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 60

Moving on to step 3:
If we divide 26 by 60, we get 0 and a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 26, we end up with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 60

On to step 4:
The number 60 fits into 266 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtract 240 from 266 to get 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 60

Going ahead to step 5:
261 divided by 60 is 4 with a remainder of 21.
The next digit of our result is 4. 
Result so far: 1044.0
Deduct 240 from 261 and we're left with 21.
Include the next digit (2) from the dividend after 21, then repeat: 212 / 60

Step 6:
60 goes into 212 3 times with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 10443.0
Subtract 180 from 212 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
The number 60 fits into 320 5 times, leaving a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 10443.5
Subtract 300 from 320 to 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.

Step 8:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 10443.53
Deduct 180 from 200 and we're left 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 9:
The number 60 fits into 200 3 times, leaving a remainder of 20.
The next digit of our result is 3. 
Result so far: 10443.533
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 quotient of the division is 10443.533, and the remainder is 0.002.