686968 ÷ 48 
We want to figure out the number of times 686968 can be divided by 48.

On to step 1:
6 divided by 48 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 48

Moving on to step 2:
68 divided by 48 is 1 with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 48 from 68 and we're left with 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 48

Advancing to step 3:
48 goes into 206 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 192 from 206 to get 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 48

On to step 4:
149 divided by 48 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 143.0
If we take 144 away from 149, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 48

Advancing to step 5:
If we divide 56 by 48, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1431.0
Subtracting 48 from 56 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 48

Step 6:
When dividing 88 by 48, we get 1 with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 14311.0
If we take 48 away from 88, 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 7:
When dividing 400 by 48, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 14311.8
Subtracting 384 from 400 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 48 fits into 160 3 times, leaving a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 14311.83
Subtract 144 from 160 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 48 is 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 14311.833
Subtract 144 from 160 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 14311.833, and the remainder is 0.0016.