145913 ÷ 78 
Our goal is to divide 145913 by 78.

On to step 1:
1 divided by 78 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 78

On to step 2:
78 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 78

On to step 3:
145 divided by 78 is 1 with a remainder of 67.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 78 from 145 leaves us with 67.
Take the next digit (9) from the dividend and append it to 67, then repeat: 679 / 78

On to step 4:
78 goes into 679 8 times with a remainder of 55.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtract 624 from 679 to get 55.
Grab the next digit (1) from the dividend, add it to 55, then carry on: 551 / 78

Moving on to step 5:
551 divided by 78 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 187.0
Deduct 546 from 551 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 78

On to step 6:
78 goes into 53 0 times with a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 1870.0
Subtracting 0 from 53 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
If we divide 530 by 78, we get 6 and a remainder of 62.
The number 6 becomes the next digit in our result. 
Result so far: 1870.6
Deduct 468 from 530 and we're left with 62.
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 8:
When dividing 620 by 78, we get 7 with a remainder of 74.
Record the quotient 7 as the next digit in the result. 
Result so far: 1870.67
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 9:
78 can be fit into 740 9 times, resulting in a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 1870.679
If we take 702 away from 740, we end up 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.

On to step 10:
380 divided by 78 is 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 1870.6794
If we take 312 away from 380, we end up 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.

Advancing to step 11:
680 divided by 78 is 8 with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 1870.67948
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.

Moving on to step 12:
78 can be fit into 560 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 1870.679487
Subtracting 546 from 560 leaves us 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.

Step 13:
The number 78 fits into 140 1 times, leaving a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 1870.6794871
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 14:
If we divide 620 by 78, we get 7 and a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 1870.67948717
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.

Our division results in 1870.67948717 with a remaining 7.4e-08.