We're dividing 561601 by 3 
Let's see how many times 3 fits into 561601.

On to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 5, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Going ahead to step 2:
If we divide 26 by 3, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 24 from 26 to get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

On to step 3:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 187.0
Deduct 21 from 21 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 3

Moving on to step 4:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1872.0
The remainder is 0 after subtracting 6 from 6.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 3

Step 5:
When dividing 0 by 3, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 18720.0
The remainder is 0 after subtracting 0 from 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

Step 6:
1 divided by 3 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 187200.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 187200.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 187200.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 187200.33 with a remainder of 0.001.