310960 ÷ 69 
Let's see how many times 69 fits into 310960.

Step 1:
69 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 69

Advancing to step 2:
The number 69 fits into 31 0 times, leaving a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 69

Let's proceed to step 3:
69 goes into 310 4 times with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 34 after subtracting 276 from 310.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 69

Step 4:
The number 69 fits into 349 5 times, leaving a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
The remainder is 4 after subtracting 345 from 349.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 69

Step 5:
When dividing 46 by 69, we get 0 with a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 450.0
Subtract 0 from 46 to get 46.
Append the next digit (0) from the dividend to 46 and continue with: 460 / 69

Moving on to step 6:
69 can be fit into 460 6 times, resulting in a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 4506.0
If we subtract 414 from 460, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
When dividing 460 by 69, we get 6 with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 4506.6
If we take 414 away from 460, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
460 divided by 69 is 6 with a remainder of 46.
The next digit of our result is 6. 
Result so far: 4506.66
Subtracting 414 from 460 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 4506.66 with a balance of 0.046.