634419 ÷ 13 
We want to divide 634419 by 13.

On to step 1:
6 divided by 13 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

Advancing to step 2:
63 divided by 13 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 52 from 63 and we're left with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 13

Moving on to step 3:
13 can be fit into 114 8 times, resulting in a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we take 104 away from 114, we end up with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 13

On to step 4:
The number 13 fits into 104 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 488.0
If we subtract 104 from 104, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

On to step 5:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 4880.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 13

Advancing to step 6:
When dividing 19 by 13, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 48801.0
If we take 13 away from 19, 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.

On to step 7:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 48801.4
If we take 52 away from 60, we end up 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.

Moving on to step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 48801.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 48801.461
Subtract 13 from 20 to 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.

Step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 48801.4615
Deduct 65 from 70 and we're left with 5.
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 11:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 48801.46153
Subtract 39 from 50 to 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.

Moving on to step 12:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 48801.461538
Subtract 104 from 110 to get 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 13:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 48801.4615384
If we take 52 away from 60, we end up 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.

Step 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48801.46153846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 48801.46153846 with a balance of 2e-09.