34634 ÷ 60 
We want to divide 34634 by 60.

Advancing to step 1:
The number 60 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 60

On to step 2:
The number 60 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 60

Advancing to step 3:
If we divide 346 by 60, we get 5 and a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 46 after subtracting 300 from 346.
Append the next digit (3) from the dividend to 46 and continue with: 463 / 60

Let's proceed to step 4:
The number 60 fits into 463 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 420 from 463 to get 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 60

Moving on to step 5:
If we divide 434 by 60, we get 7 and a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 577.0
Subtracting 420 from 434 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
140 divided by 60 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 577.2
Subtract 120 from 140 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.

Going ahead to step 7:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 577.23
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.

On to step 8:
200 divided by 60 is 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 577.233
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 577.233, and the remainder is 0.002.