We're dividing 5925641 by 605 
We're looking to find how many times 605 goes into 5925641.

Moving on to step 1:
If we divide 5 by 605, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 605

Going ahead to step 2:
59 divided by 605 is 0 with a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Include the next digit (2) from the dividend after 59, then repeat: 592 / 605

Advancing to step 3:
The number 605 fits into 592 0 times, leaving a remainder of 592.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 592 and we're left with 592.
Include the next digit (5) from the dividend after 592, then repeat: 5925 / 605

Advancing to step 4:
5925 divided by 605 is 9 with a remainder of 480.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 5445 from 5925 and we're left with 480.
Grab the next digit (6) from the dividend, add it to 480, then carry on: 4806 / 605

On to step 5:
4806 divided by 605 is 7 with a remainder of 571.
The next digit of our result is 7. 
Result so far: 97.0
If we subtract 4235 from 4806, we get 571.
Append the next digit (4) from the dividend to 571 and continue with: 5714 / 605

Advancing to step 6:
605 can be fit into 5714 9 times, resulting in a remainder of 269.
Use 9 as the next digit of our solution. 
Result so far: 979.0
If we take 5445 away from 5714, we end up with 269.
Append the next digit (1) from the dividend to 269 and continue with: 2691 / 605

Let's proceed to step 7:
2691 divided by 605 is 4 with a remainder of 271.
The next digit of our result is 4. 
Result so far: 9794.0
Deduct 2420 from 2691 and we're left with 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Going ahead to step 8:
605 goes into 2710 4 times with a remainder of 290.
Write down 4 as next digit of the result. 
Result so far: 9794.4
If we subtract 2420 from 2710, we get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Going ahead to step 9:
The number 605 fits into 2900 4 times, leaving a remainder of 480.
The next digit of our result is 4. 
Result so far: 9794.44
Subtracting 2420 from 2900 leaves us with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

The quotient of the division is 9794.44, and the remainder is 0.48.