We look at the division of 513601 by 3 
We want to figure out the number of times 513601 can be divided by 3.

Moving on to step 1:
3 can be fit into 5 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 3 from 5 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 3

Moving on to step 2:
If we divide 21 by 3, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 21 from 21 and we're left with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 3

Step 3:
If we divide 3 by 3, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 171.0
The remainder is 0 after subtracting 3 from 3.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Let's proceed 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: 1712.0
Subtracting 6 from 6 leaves us with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

Let's proceed to step 5:
If we divide 0 by 3, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17120.0
If we subtract 0 from 0, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Going ahead to step 6:
1 divided by 3 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 171200.0
If we take 0 away from 1, we end up 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.

Let's proceed to step 7:
3 goes into 10 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 171200.3
Subtracting 9 from 10 leaves us 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.

Let's proceed to step 8:
10 divided by 3 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 171200.33
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.

Our division results in 171200.33 with a remaining 0.001.