Let's divide 117419 by 78
We want to figure out the number of times 117419 can be divided by 78.

Let's proceed to step 1:
1 divided by 78 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 78

Step 2:
If we divide 11 by 78, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 78

Let's proceed to step 3:
If we divide 117 by 78, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 78 from 117, we get 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 78

On to step 4:
394 divided by 78 is 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 390 away from 394, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 78

Advancing to step 5:
78 can be fit into 41 0 times, resulting in a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 150.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 78

Let's proceed to step 6:
419 divided by 78 is 5 with a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 1505.0
Deduct 390 from 419 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
If we divide 290 by 78, we get 3 and a remainder of 56.
Use 3 as the next digit of our solution. 
Result so far: 1505.3
Subtract 234 from 290 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
The number 78 fits into 560 7 times, leaving a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 1505.37
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
The number 78 fits into 140 1 times, leaving a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 1505.371
The remainder is 62 after subtracting 78 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
78 goes into 620 7 times with a remainder of 74.
The next digit of our result is 7. 
Result so far: 1505.3717
Deduct 546 from 620 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 11:
740 divided by 78 is 9 with a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 1505.37179
Deduct 702 from 740 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
When dividing 380 by 78, we get 4 with a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 1505.371794
Deduct 312 from 380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
78 goes into 680 8 times with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 1505.3717948
Subtracting 624 from 680 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 14:
560 divided by 78 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 1505.37179487
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 1505.37179487 with a remainder of 1.4e-08.