Let's divide 641719 by 60
Our goal is to divide 641719 by 60.

Step 1:
The number 60 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 60

Moving on to step 2:
The number 60 fits into 64 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 60 from 64, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 60

On to step 3:
The number 60 fits into 41 0 times, leaving a remainder of 41.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 60

On to step 4:
When dividing 417 by 60, we get 6 with a remainder of 57.
The next digit of our result is 6. 
Result so far: 106.0
Subtracting 360 from 417 leaves us with 57.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 60

Step 5:
If we divide 571 by 60, we get 9 and a remainder of 31.
The next digit of our result is 9. 
Result so far: 1069.0
If we take 540 away from 571, we end up with 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 60

On to step 6:
When dividing 319 by 60, we get 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 10695.0
If we subtract 300 from 319, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
60 can be fit into 190 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 10695.3
If we take 180 away from 190, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
60 can be fit into 100 1 times, resulting in a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 10695.31
Deduct 60 from 100 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.

Moving on to step 9:
60 goes into 400 6 times with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 10695.316
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.

On to step 10:
60 goes into 400 6 times with a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 10695.3166
If we take 360 away from 400, 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.

The quotient of the division is 10695.3166, and the remainder is 0.0004.