391978 ÷ 72 
Our goal is to divide 391978 by 72.

Advancing to step 1:
The number 72 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 72

Let's proceed to step 2:
When dividing 39 by 72, we get 0 with a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Grab the next digit (1) from the dividend, add it to 39, then carry on: 391 / 72

Advancing to step 3:
When dividing 391 by 72, we get 5 with a remainder of 31.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 360 from 391 and we're left with 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 72

On to step 4:
319 divided by 72 is 4 with a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
Subtract 288 from 319 to get 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 72

On to step 5:
When dividing 317 by 72, we get 4 with a remainder of 29.
The next digit of our result is 4. 
Result so far: 544.0
Subtracting 288 from 317 leaves us with 29.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 72

On to step 6:
72 can be fit into 298 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 5444.0
Subtracting 288 from 298 leaves us 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.

Moving on to step 7:
72 goes into 100 1 times with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 5444.1
Deduct 72 from 100 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
72 goes into 280 3 times with a remainder of 64.
Record the quotient 3 as the next digit in the result. 
Result so far: 5444.13
Subtract 216 from 280 to get 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 9:
When dividing 640 by 72, we get 8 with a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 5444.138
Subtract 576 from 640 to get 64.
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 10:
If we divide 640 by 72, we get 8 and a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 5444.1388
If we take 576 away from 640, we end up 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.

Our division results in 5444.1388 with a remaining 0.00064.