75584 divided by 60 
We want to divide 75584 by 60.

Advancing to step 1:
60 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 60

Going ahead to step 2:
When dividing 75 by 60, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 60 from 75 and we're left with 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 60

Step 3:
If we divide 155 by 60, we get 2 and a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 120 from 155, we get 35.
Include the next digit (8) from the dividend after 35, then repeat: 358 / 60

On to step 4:
If we divide 358 by 60, we get 5 and a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we subtract 300 from 358, we get 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 60

Advancing to step 5:
60 can be fit into 584 9 times, resulting in a remainder of 44.
The number 9 becomes the next digit in our result. 
Result so far: 1259.0
If we take 540 away from 584, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 6:
60 goes into 440 7 times with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 1259.7
Subtracting 420 from 440 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.

Going ahead to step 7:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 1259.73
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 1259.733
Subtract 180 from 200 to get 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 1259.733, and the remainder is 0.002.