We look at the division of 325321 by 78 
Our goal is to divide 325321 by 78.

Step 1:
3 divided by 78 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 78

Moving on to step 2:
32 divided by 78 is 0 with a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 32 and we're left with 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 78

Advancing to step 3:
The number 78 fits into 325 4 times, leaving a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 312 from 325, we get 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 78

Step 4:
78 goes into 133 1 times with a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
If we subtract 78 from 133, we get 55.
Include the next digit (2) from the dividend after 55, then repeat: 552 / 78

Step 5:
78 goes into 552 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 417.0
If we take 546 away from 552, we end up with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 78

Advancing to step 6:
When dividing 61 by 78, we get 0 with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 4170.0
Subtracting 0 from 61 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
The number 78 fits into 610 7 times, leaving a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 4170.7
The remainder is 64 after subtracting 546 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
78 can be fit into 640 8 times, resulting in a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 4170.78
The remainder is 16 after subtracting 624 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
When dividing 160 by 78, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 4170.782
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
78 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 4170.782
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
78 goes into 400 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 4170.78205
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 78 is 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 4170.782051
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
If we divide 220 by 78, we get 2 and a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 4170.7820512
Subtracting 156 from 220 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 14:
The number 78 fits into 640 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 4170.78205128
Subtracting 624 from 640 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 4170.78205128 with a balance of 1.6e-08.