13390013 divided by 419 
Our goal is to divide 13390013 by 419.

Step 1:
1 divided by 419 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 419

Moving on to step 2:
13 divided by 419 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 419

Step 3:
When dividing 133 by 419, we get 0 with a remainder of 133.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 133, we end up with 133.
Fetch the next digit (9) from the dividend, attach it to 133 and continue: 1339 / 419

Moving on to step 4:
1339 divided by 419 is 3 with a remainder of 82.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 1257 from 1339 to get 82.
Grab the next digit (0) from the dividend, add it to 82, then carry on: 820 / 419

Going ahead to step 5:
When dividing 820 by 419, we get 1 with a remainder of 401.
The next digit of our result is 1. 
Result so far: 31.0
Subtract 419 from 820 to get 401.
Append the next digit (0) from the dividend to 401 and continue with: 4010 / 419

Going ahead to step 6:
When dividing 4010 by 419, we get 9 with a remainder of 239.
Put 9 as the next digit of the answer. 
Result so far: 319.0
Subtract 3771 from 4010 to get 239.
Take the next digit (1) from the dividend and append it to 239, then repeat: 2391 / 419

Moving on to step 7:
The number 419 fits into 2391 5 times, leaving a remainder of 296.
Use 5 as the next digit of our solution. 
Result so far: 3195.0
Subtracting 2095 from 2391 leaves us with 296.
Bring next digit (3) of the dividend behind the 296 and repeat the process: 2963 / 419

Let's proceed to step 8:
419 goes into 2963 7 times with a remainder of 30.
The next digit of our result is 7. 
Result so far: 31957.0
Deduct 2933 from 2963 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
419 can be fit into 300 0 times, resulting in a remainder of 300.
Put 0 as the next digit of the answer. 
Result so far: 31957.0
The remainder is 300 after subtracting 0 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Advancing to step 10:
419 goes into 3000 7 times with a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 31957.07
Deduct 2933 from 3000 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 11:
If we divide 670 by 419, we get 1 and a remainder of 251.
Write down 1 as next digit of the result. 
Result so far: 31957.071
Deduct 419 from 670 and we're left with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

On to step 12:
2510 divided by 419 is 5 with a remainder of 415.
Use 5 as the next digit of our solution. 
Result so far: 31957.0715
If we take 2095 away from 2510, we end up with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Advancing to step 13:
When dividing 4150 by 419, we get 9 with a remainder of 379.
Record the quotient 9 as the next digit in the result. 
Result so far: 31957.07159
If we subtract 3771 from 4150, we get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Advancing to step 14:
419 goes into 3790 9 times with a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 31957.071599
Subtracting 3771 from 3790 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 31957.071599 with a balance of 1.9e-06.