76601 ÷ 60 
Let's see how many times 60 fits into 76601.

Advancing to step 1:
60 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 60

On to step 2:
76 divided by 60 is 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 60 from 76 to get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 60

Going ahead to step 3:
If we divide 166 by 60, we get 2 and a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 46 after subtracting 120 from 166.
Bring next digit (0) of the dividend behind the 46 and repeat the process: 460 / 60

Step 4:
460 divided by 60 is 7 with a remainder of 40.
The next digit of our result is 7. 
Result so far: 127.0
If we take 420 away from 460, we end up with 40.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 60

Going ahead to step 5:
The number 60 fits into 401 6 times, leaving a remainder of 41.
Write down 6 as next digit of the result. 
Result so far: 1276.0
If we subtract 360 from 401, 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.

Advancing to step 6:
If we divide 410 by 60, we get 6 and a remainder of 50.
The next digit of our result is 6. 
Result so far: 1276.6
Subtract 360 from 410 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
The number 60 fits into 500 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1276.68
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.

Moving on to step 8:
When dividing 200 by 60, we get 3 with a remainder of 20.
The next digit of our result is 3. 
Result so far: 1276.683
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.

Moving on to step 9:
60 goes into 200 3 times with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 1276.6833
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.

After the division, we end up with 1276.6833 and a remainder of 0.0002.