30003 ÷ 78 
We want to figure out the number of times 30003 can be divided by 78.

On to step 1:
The number 78 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
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 / 78

Let's proceed to step 2:
78 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 78

Moving on to step 3:
78 goes into 300 3 times with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 234 away from 300, we end up with 66.
Take the next digit (0) from the dividend and append it to 66, then repeat: 660 / 78

On to step 4:
When dividing 660 by 78, we get 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
The remainder is 36 after subtracting 624 from 660.
Bring next digit (3) of the dividend behind the 36 and repeat the process: 363 / 78

On to step 5:
If we divide 363 by 78, we get 4 and a remainder of 51.
Put 4 as the next digit of the answer. 
Result so far: 384.0
The remainder is 51 after subtracting 312 from 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 6:
510 divided by 78 is 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 384.6
The remainder is 42 after subtracting 468 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
When dividing 420 by 78, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 384.65
Deduct 390 from 420 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
78 goes into 300 3 times with a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 384.653
If we subtract 234 from 300, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 9:
660 divided by 78 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 384.6538
Deduct 624 from 660 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 384.65384
Deduct 312 from 360 and we're left 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.

Advancing to step 11:
If we divide 480 by 78, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 384.653846
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
When dividing 120 by 78, we get 1 with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 384.6538461
Deduct 78 from 120 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
78 can be fit into 420 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 384.65384615
If we subtract 390 from 420, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 384.65384615 and a remainder of 3e-08.