Let's divide 675641 by 60
Our goal is to divide 675641 by 60.

Let's proceed to step 1:
If we divide 6 by 60, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 60

Moving on to step 2:
When dividing 67 by 60, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 60 from 67 and we're left with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 60

On to step 3:
60 can be fit into 75 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 60 from 75 to get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 60

Going ahead to step 4:
156 divided by 60 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 112.0
Deduct 120 from 156 and we're left with 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 60

On to step 5:
60 goes into 364 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1126.0
Deduct 360 from 364 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 60

Step 6:
When dividing 41 by 60, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 11260.0
If we subtract 0 from 41, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
410 divided by 60 is 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 11260.6
Deduct 360 from 410 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
The number 60 fits into 500 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 11260.68
Deduct 480 from 500 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.

Step 9:
60 can be fit into 200 3 times, resulting in a remainder of 20.
The next digit of our result is 3. 
Result so far: 11260.683
If we take 180 away from 200, 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 10:
When dividing 200 by 60, we get 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 11260.6833
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 11260.6833 and a remainder of 0.0002.