619006 ÷ 13 
Our goal is to divide 619006 by 13.

Step 1:
6 divided by 13 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Let's proceed to step 2:
If we divide 61 by 13, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 9 after subtracting 52 from 61.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

On to step 3:
13 goes into 99 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 47.0
Deduct 91 from 99 and we're left with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 13

Advancing to step 4:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 476.0
Subtracting 78 from 80 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Advancing to step 5:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 4761.0
Subtract 13 from 20 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

Advancing to step 6:
When dividing 76 by 13, we get 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 47615.0
If we subtract 65 from 76, 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.

Moving on to step 7:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 47615.8
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.

On to step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 47615.84
If we subtract 52 from 60, we 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.

Advancing to step 9:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 47615.846
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.

Advancing to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 47615.8461
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.

On to step 11:
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: 47615.84615
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.

Moving on to step 12:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 47615.846153
Deduct 39 from 50 and we're left 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.

On to step 13:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 47615.8461538
If we subtract 104 from 110, we 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.

Let's proceed to step 14:
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: 47615.84615384
If we subtract 52 from 60, we 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.

After the division, we end up with 47615.84615384 and a remainder of 8e-09.