30914 ÷ 48 
We want to figure out the number of times 30914 can be divided by 48.

Going ahead to step 1:
48 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 48

Advancing to step 2:
The number 48 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 48

On to step 3:
When dividing 309 by 48, we get 6 with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 288 from 309 leaves us with 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 48

Let's proceed to step 4:
48 goes into 211 4 times with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtracting 192 from 211 leaves us with 19.
Append the next digit (4) from the dividend to 19 and continue with: 194 / 48

Moving on to step 5:
194 divided by 48 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
Subtract 192 from 194 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
48 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 644.0
Deduct 0 from 20 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.

Step 7:
48 can be fit into 200 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 644.04
If we subtract 192 from 200, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
If we divide 80 by 48, we get 1 and a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 644.041
If we take 48 away from 80, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
The number 48 fits into 320 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 644.0416
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
48 goes into 320 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 644.04166
If we subtract 288 from 320, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 644.04166, and the remainder is 3.2e-05.