We look at the division of 606325 by 261 
Let's see how many times 261 fits into 606325.

Moving on to step 1:
261 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 261

Going ahead to step 2:
When dividing 60 by 261, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Grab the next digit (6) from the dividend, add it to 60, then carry on: 606 / 261

Moving on to step 3:
The number 261 fits into 606 2 times, leaving a remainder of 84.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 84 after subtracting 522 from 606.
Bring next digit (3) of the dividend behind the 84 and repeat the process: 843 / 261

On to step 4:
If we divide 843 by 261, we get 3 and a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 783 from 843 and we're left with 60.
Bring next digit (2) of the dividend behind the 60 and repeat the process: 602 / 261

Moving on to step 5:
261 can be fit into 602 2 times, resulting in a remainder of 80.
Write down 2 as next digit of the result. 
Result so far: 232.0
Subtracting 522 from 602 leaves us with 80.
Take the next digit (5) from the dividend and append it to 80, then repeat: 805 / 261

Let's proceed to step 6:
261 goes into 805 3 times with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 2323.0
Deduct 783 from 805 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.

On to step 7:
261 can be fit into 220 0 times, resulting in a remainder of 220.
Use 0 as the next digit of our solution. 
Result so far: 2323.0
If we subtract 0 from 220, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Advancing to step 8:
261 goes into 2200 8 times with a remainder of 112.
Use 8 as the next digit of our solution. 
Result so far: 2323.08
If we subtract 2088 from 2200, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Step 9:
261 can be fit into 1120 4 times, resulting in a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 2323.084
The remainder is 76 after subtracting 1044 from 1120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 10:
760 divided by 261 is 2 with a remainder of 238.
The number 2 becomes the next digit in our result. 
Result so far: 2323.0842
The remainder is 238 after subtracting 522 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

On to step 11:
2380 divided by 261 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 2323.08429
If we take 2349 away from 2380, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
If we divide 310 by 261, we get 1 and a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 2323.084291
Deduct 261 from 310 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 13:
490 divided by 261 is 1 with a remainder of 229.
Use 1 as the next digit of our solution. 
Result so far: 2323.0842911
If we take 261 away from 490, we end up with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

The quotient of the division is 2323.0842911, and the remainder is 2.29e-06.