6270 ÷ 96 
We want to figure out the number of times 6270 can be divided by 96.

Let's proceed to step 1:
If we divide 6 by 96, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 96

Moving on to step 2:
If we divide 62 by 96, we get 0 and a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Fetch the next digit (7) from the dividend, attach it to 62 and continue: 627 / 96

Going ahead to step 3:
The number 96 fits into 627 6 times, leaving a remainder of 51.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 576 from 627, we get 51.
Fetch the next digit (0) from the dividend, attach it to 51 and continue: 510 / 96

On to step 4:
The number 96 fits into 510 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
The remainder is 30 after subtracting 480 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 5:
300 divided by 96 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 65.3
If we subtract 288 from 300, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 6:
96 can be fit into 120 1 times, resulting in a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 65.31
Deduct 96 from 120 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
The number 96 fits into 240 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 65.312
If we take 192 away from 240, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
When dividing 480 by 96, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 65.3125
If we subtract 480 from 480, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 96 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 65.3125
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 96, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 65.3125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 65.3125, with a leftover of 0.0.