4819604 ÷ 725 
We're looking to find how many times 725 goes into 4819604.

Step 1:
When dividing 4 by 725, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 725

Advancing to step 2:
If we divide 48 by 725, we get 0 and a remainder of 48.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 48 leaves us with 48.
Fetch the next digit (1) from the dividend, attach it to 48 and continue: 481 / 725

Advancing to step 3:
725 goes into 481 0 times with a remainder of 481.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 481 to get 481.
Take the next digit (9) from the dividend and append it to 481, then repeat: 4819 / 725

Let's proceed to step 4:
4819 divided by 725 is 6 with a remainder of 469.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 4350 away from 4819, we end up with 469.
Append the next digit (6) from the dividend to 469 and continue with: 4696 / 725

On to step 5:
When dividing 4696 by 725, we get 6 with a remainder of 346.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 4350 away from 4696, we end up with 346.
Bring next digit (0) of the dividend behind the 346 and repeat the process: 3460 / 725

Moving on to step 6:
3460 divided by 725 is 4 with a remainder of 560.
Use 4 as the next digit of our solution. 
Result so far: 664.0
If we subtract 2900 from 3460, we get 560.
Fetch the next digit (4) from the dividend, attach it to 560 and continue: 5604 / 725

Moving on to step 7:
When dividing 5604 by 725, we get 7 with a remainder of 529.
Use 7 as the next digit of our solution. 
Result so far: 6647.0
Subtract 5075 from 5604 to get 529.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5290, and continue the process.

On to step 8:
5290 divided by 725 is 7 with a remainder of 215.
Record the quotient 7 as the next digit in the result. 
Result so far: 6647.7
If we take 5075 away from 5290, we end up with 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Let's proceed to step 9:
The number 725 fits into 2150 2 times, leaving a remainder of 700.
The next digit of our result is 2. 
Result so far: 6647.72
If we subtract 1450 from 2150, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

On to step 10:
If we divide 7000 by 725, we get 9 and a remainder of 475.
Write down 9 as next digit of the result. 
Result so far: 6647.729
If we take 6525 away from 7000, we end up with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Moving on to step 11:
The number 725 fits into 4750 6 times, leaving a remainder of 400.
Write down 6 as next digit of the result. 
Result so far: 6647.7296
Subtract 4350 from 4750 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 12:
The number 725 fits into 4000 5 times, leaving a remainder of 375.
Use 5 as the next digit of our solution. 
Result so far: 6647.72965
The remainder is 375 after subtracting 3625 from 4000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Advancing to step 13:
725 goes into 3750 5 times with a remainder of 125.
Put 5 as the next digit of the answer. 
Result so far: 6647.729655
Deduct 3625 from 3750 and we're left with 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

The final outcome is 6647.729655, with a leftover of 1.25e-05.