637570 ÷ 60 
Our goal is to divide 637570 by 60.

On to step 1:
60 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 60

Let's proceed to step 2:
When dividing 63 by 60, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 60 from 63 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 60

Step 3:
The number 60 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 37, we get 37.
Grab the next digit (5) from the dividend, add it to 37, then carry on: 375 / 60

Advancing to step 4:
60 can be fit into 375 6 times, resulting in a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
The remainder is 15 after subtracting 360 from 375.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 60

Moving on to step 5:
60 goes into 157 2 times with a remainder of 37.
The next digit of our result is 2. 
Result so far: 1062.0
The remainder is 37 after subtracting 120 from 157.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 60

Moving on to step 6:
The number 60 fits into 370 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 10626.0
The remainder is 10 after subtracting 360 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 60 fits into 100 1 times, leaving a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 10626.1
The remainder is 40 after subtracting 60 from 100.
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 8:
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: 10626.16
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.

Going ahead to step 9:
60 goes into 400 6 times with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 10626.166
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.

The quotient of the division is 10626.166, and the remainder is 0.004.