Let's divide 1335319 by 644
Our goal is to divide 1335319 by 644.

Step 1:
When dividing 1 by 644, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 644

Step 2:
644 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 644

Let's proceed to step 3:
The number 644 fits into 133 0 times, leaving a remainder of 133.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 133 leaves us with 133.
Bring next digit (5) of the dividend behind the 133 and repeat the process: 1335 / 644

Advancing to step 4:
The number 644 fits into 1335 2 times, leaving a remainder of 47.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 1288 from 1335 to get 47.
Take the next digit (3) from the dividend and append it to 47, then repeat: 473 / 644

Step 5:
644 can be fit into 473 0 times, resulting in a remainder of 473.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 473 after subtracting 0 from 473.
Append the next digit (1) from the dividend to 473 and continue with: 4731 / 644

On to step 6:
If we divide 4731 by 644, we get 7 and a remainder of 223.
The next digit of our result is 7. 
Result so far: 207.0
If we take 4508 away from 4731, we end up with 223.
Fetch the next digit (9) from the dividend, attach it to 223 and continue: 2239 / 644

On to step 7:
When dividing 2239 by 644, we get 3 with a remainder of 307.
The next digit of our result is 3. 
Result so far: 2073.0
Deduct 1932 from 2239 and we're left with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Going ahead to step 8:
If we divide 3070 by 644, we get 4 and a remainder of 494.
Write down 4 as next digit of the result. 
Result so far: 2073.4
Subtract 2576 from 3070 to get 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Let's proceed to step 9:
The number 644 fits into 4940 7 times, leaving a remainder of 432.
Put 7 as the next digit of the answer. 
Result so far: 2073.47
The remainder is 432 after subtracting 4508 from 4940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Let's proceed to step 10:
When dividing 4320 by 644, we get 6 with a remainder of 456.
Put 6 as the next digit of the answer. 
Result so far: 2073.476
Subtracting 3864 from 4320 leaves us with 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

On to step 11:
The number 644 fits into 4560 7 times, leaving a remainder of 52.
The next digit of our result is 7. 
Result so far: 2073.4767
Deduct 4508 from 4560 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 12:
The number 644 fits into 520 0 times, leaving a remainder of 520.
Record the quotient 0 as the next digit in the result. 
Result so far: 2073.4767
If we subtract 0 from 520, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Step 13:
644 goes into 5200 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 2073.476708
Subtracting 5152 from 5200 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 14:
644 goes into 480 0 times with a remainder of 480.
Record the quotient 0 as the next digit in the result. 
Result so far: 2073.476708
The remainder is 480 after subtracting 0 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Moving on to step 15:
The number 644 fits into 4800 7 times, leaving a remainder of 292.
Put 7 as the next digit of the answer. 
Result so far: 2073.47670807
Subtracting 4508 from 4800 leaves us with 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Our division results in 2073.47670807 with a remaining 2.92e-07.