We look at the division of 675641 by 60 
We want to divide 675641 by 60.

Moving on to step 1:
The number 60 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 60

Let's proceed to step 2:
If we divide 67 by 60, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 60 away from 67, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 60

Advancing to step 3:
60 goes into 75 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 60 from 75 leaves us with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 60

Moving on to step 4:
60 goes into 156 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 112.0
The remainder is 36 after subtracting 120 from 156.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 60

Advancing to step 5:
60 goes into 364 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 1126.0
The remainder is 4 after subtracting 360 from 364.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 60

Advancing to step 6:
41 divided by 60 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 11260.0
Deduct 0 from 41 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
60 goes into 410 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 11260.6
The remainder is 50 after subtracting 360 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
60 can be fit into 500 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 11260.68
If we take 480 away from 500, 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.

Moving on to step 9:
If we divide 200 by 60, we get 3 and a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 11260.683
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.

On to step 10:
60 goes into 200 3 times with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 11260.6833
Subtracting 180 from 200 leaves us 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.

The quotient of the division is 11260.6833, and the remainder is 0.0002.