644644 ÷ 60 
We're looking to find how many times 60 goes into 644644.

Step 1:
The number 60 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 60

Step 2:
60 goes into 64 1 times with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 60 from 64, we get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 60

Moving on to step 3:
60 goes into 44 0 times with a remainder of 44.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 44 after subtracting 0 from 44.
Take the next digit (6) from the dividend and append it to 44, then repeat: 446 / 60

Moving on to step 4:
The number 60 fits into 446 7 times, leaving a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
If we subtract 420 from 446, we get 26.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 60

Let's proceed to step 5:
When dividing 264 by 60, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 1074.0
Deduct 240 from 264 and we're left with 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 60

Step 6:
When dividing 244 by 60, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 10744.0
Subtract 240 from 244 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
60 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 10744.0
If we take 0 away from 40, 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.

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: 10744.06
Subtract 360 from 400 to 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.

Let's proceed to step 9:
The number 60 fits into 400 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 10744.066
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.

In conclusion, the division gives 10744.066 with a balance of 0.004.