2013565 ÷ 332 
Our goal is to divide 2013565 by 332.

Going ahead to step 1:
The number 332 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 332

On to step 2:
332 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 332

On to step 3:
201 divided by 332 is 0 with a remainder of 201.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 201, we end up with 201.
Bring next digit (3) of the dividend behind the 201 and repeat the process: 2013 / 332

Moving on to step 4:
332 can be fit into 2013 6 times, resulting in a remainder of 21.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 1992 from 2013 leaves us with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 332

On to step 5:
215 divided by 332 is 0 with a remainder of 215.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtract 0 from 215 to get 215.
Take the next digit (6) from the dividend and append it to 215, then repeat: 2156 / 332

Step 6:
2156 divided by 332 is 6 with a remainder of 164.
Use 6 as the next digit of our solution. 
Result so far: 606.0
Subtract 1992 from 2156 to get 164.
Grab the next digit (5) from the dividend, add it to 164, then carry on: 1645 / 332

Let's proceed to step 7:
332 can be fit into 1645 4 times, resulting in a remainder of 317.
Use 4 as the next digit of our solution. 
Result so far: 6064.0
The remainder is 317 after subtracting 1328 from 1645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

Going ahead to step 8:
The number 332 fits into 3170 9 times, leaving a remainder of 182.
The next digit of our result is 9. 
Result so far: 6064.9
The remainder is 182 after subtracting 2988 from 3170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Let's proceed to step 9:
332 can be fit into 1820 5 times, resulting in a remainder of 160.
Write down 5 as next digit of the result. 
Result so far: 6064.95
Deduct 1660 from 1820 and we're left with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 10:
When dividing 1600 by 332, we get 4 with a remainder of 272.
The number 4 becomes the next digit in our result. 
Result so far: 6064.954
Deduct 1328 from 1600 and we're left with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Advancing to step 11:
332 goes into 2720 8 times with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 6064.9548
The remainder is 64 after subtracting 2656 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 12:
The number 332 fits into 640 1 times, leaving a remainder of 308.
Use 1 as the next digit of our solution. 
Result so far: 6064.95481
Deduct 332 from 640 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Going ahead to step 13:
332 can be fit into 3080 9 times, resulting in a remainder of 92.
The number 9 becomes the next digit in our result. 
Result so far: 6064.954819
If we subtract 2988 from 3080, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

On to step 14:
332 goes into 920 2 times with a remainder of 256.
The number 2 becomes the next digit in our result. 
Result so far: 6064.9548192
Subtract 664 from 920 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 15:
2560 divided by 332 is 7 with a remainder of 236.
The number 7 becomes the next digit in our result. 
Result so far: 6064.95481927
The remainder is 236 after subtracting 2324 from 2560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

The final result is 6064.95481927 with a remainder of 2.36e-07.