34643 divided by 60 
Our goal is to divide 34643 by 60.

Going ahead to step 1:
The number 60 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 60

Step 2:
60 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Take the next digit (6) from the dividend and append it to 34, then repeat: 346 / 60

Step 3:
If we divide 346 by 60, we get 5 and a remainder of 46.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 300 from 346 to get 46.
Grab the next digit (4) from the dividend, add it to 46, then carry on: 464 / 60

On to step 4:
The number 60 fits into 464 7 times, leaving a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtract 420 from 464 to get 44.
Append the next digit (3) from the dividend to 44 and continue with: 443 / 60

Let's proceed to step 5:
When dividing 443 by 60, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 577.0
The remainder is 23 after subtracting 420 from 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 6:
230 divided by 60 is 3 with a remainder of 50.
Record the quotient 3 as the next digit in the result. 
Result so far: 577.3
If we subtract 180 from 230, we 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.

On to step 7:
The number 60 fits into 500 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 577.38
Subtracting 480 from 500 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.

Step 8:
60 goes into 200 3 times with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 577.383
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.

On to step 9:
200 divided by 60 is 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 577.3833
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 final outcome is 577.3833, with a leftover of 0.0002.