Let's divide 174041 by 78
Our goal is to divide 174041 by 78.

Let's proceed to step 1:
78 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 78

Advancing to step 2:
When dividing 17 by 78, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 78

Going ahead to step 3:
78 can be fit into 174 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 18 after subtracting 156 from 174.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 78

Advancing to step 4:
180 divided by 78 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 156 from 180 to get 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 78

Let's proceed to step 5:
78 can be fit into 244 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 223.0
Deduct 234 from 244 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 78

Moving on to step 6:
78 goes into 101 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 2231.0
Subtract 78 from 101 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
78 can be fit into 230 2 times, resulting in a remainder of 74.
The next digit of our result is 2. 
Result so far: 2231.2
The remainder is 74 after subtracting 156 from 230.
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 8:
When dividing 740 by 78, we get 9 with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 2231.29
Subtracting 702 from 740 leaves us 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.

Moving on to step 9:
380 divided by 78 is 4 with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 2231.294
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.

Moving on to step 10:
When dividing 680 by 78, we get 8 with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 2231.2948
Deduct 624 from 680 and we're left 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.

On to step 11:
78 goes into 560 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 2231.29487
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 12:
78 goes into 140 1 times with a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 2231.294871
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.

Step 13:
The number 78 fits into 620 7 times, leaving a remainder of 74.
Record the quotient 7 as the next digit in the result. 
Result so far: 2231.2948717
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.

Let's proceed to step 14:
The number 78 fits into 740 9 times, leaving a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 2231.29487179
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.

After the division, we end up with 2231.29487179 and a remainder of 3.8e-08.