We divide 603819 by 13
Our goal is to divide 603819 by 13.

Going ahead to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 13

Step 2:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 52 from 60 and we're left with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 13

Let's proceed to step 3:
If we divide 83 by 13, we get 6 and a remainder of 5.
The next digit of our result is 6. 
Result so far: 46.0
Subtracting 78 from 83 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 13

Let's proceed to step 4:
13 goes into 58 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 464.0
Subtract 52 from 58 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Step 5:
13 can be fit into 61 4 times, resulting in a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4644.0
Subtracting 52 from 61 leaves us with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 13

On to step 6:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 46447.0
Subtract 91 from 99 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 46447.6
If we take 78 away from 80, we end up 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.

Going ahead to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 46447.61
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 46447.615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
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: 46447.6153
Subtracting 39 from 50 leaves us with 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 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 46447.61538
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.

Step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 46447.615384
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.

Let's proceed to step 13:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 46447.6153846
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.

Step 14:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 46447.61538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 46447.61538461 with a balance of 7e-09.