644129 ÷ 13 
Our goal is to divide 644129 by 13.

Step 1:
13 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 13

Let's proceed to step 2:
64 divided by 13 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 52 from 64 and we're left with 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 13

On to step 3:
When dividing 124 by 13, we get 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 49.0
The remainder is 7 after subtracting 117 from 124.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

On to step 4:
13 can be fit into 71 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 495.0
The remainder is 6 after subtracting 65 from 71.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 13

Advancing to step 5:
The number 13 fits into 62 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4954.0
Subtract 52 from 62 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 13

Step 6:
109 divided by 13 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 49548.0
The remainder is 5 after subtracting 104 from 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 49548.3
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 49548.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 49548.384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 49548.3846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 49548.38461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 49548.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 49548.3846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 49548.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 49548.38461538, and the remainder is 6e-09.