306361 ÷ 60 
Our goal is to divide 306361 by 60.

Let's proceed to step 1:
When dividing 3 by 60, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 60

On to step 2:
30 divided by 60 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 60

On to step 3:
The number 60 fits into 306 5 times, leaving a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 300 from 306 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 60

Advancing to step 4:
If we divide 63 by 60, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtract 60 from 63 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 60

On to step 5:
36 divided by 60 is 0 with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 510.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 60

Advancing to step 6:
361 divided by 60 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 5106.0
If we subtract 360 from 361, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 60 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5106.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
60 goes into 100 1 times with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 5106.01
If we take 60 away from 100, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
60 goes into 400 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 5106.016
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
60 goes into 400 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 5106.0166
Subtract 360 from 400 to 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.

In conclusion, the division gives 5106.0166 with a balance of 0.0004.