13378313 divided by 434 
Let's see how many times 434 fits into 13378313.

Step 1:
434 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 434

Moving on to step 2:
13 divided by 434 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 434

Going ahead to step 3:
434 goes into 133 0 times with a remainder of 133.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 133, we get 133.
Bring next digit (7) of the dividend behind the 133 and repeat the process: 1337 / 434

Going ahead to step 4:
When dividing 1337 by 434, we get 3 with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 1302 from 1337 and we're left with 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 434

Going ahead to step 5:
The number 434 fits into 358 0 times, leaving a remainder of 358.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 358 leaves us with 358.
Bring next digit (3) of the dividend behind the 358 and repeat the process: 3583 / 434

Moving on to step 6:
434 can be fit into 3583 8 times, resulting in a remainder of 111.
Record the quotient 8 as the next digit in the result. 
Result so far: 308.0
If we subtract 3472 from 3583, we get 111.
Append the next digit (1) from the dividend to 111 and continue with: 1111 / 434

Going ahead to step 7:
If we divide 1111 by 434, we get 2 and a remainder of 243.
The next digit of our result is 2. 
Result so far: 3082.0
Deduct 868 from 1111 and we're left with 243.
Grab the next digit (3) from the dividend, add it to 243, then carry on: 2433 / 434

Let's proceed to step 8:
When dividing 2433 by 434, we get 5 with a remainder of 263.
Write down 5 as next digit of the result. 
Result so far: 30825.0
If we subtract 2170 from 2433, we get 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Going ahead to step 9:
434 goes into 2630 6 times with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 30825.6
Subtract 2604 from 2630 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
434 can be fit into 260 0 times, resulting in a remainder of 260.
The number 0 becomes the next digit in our result. 
Result so far: 30825.6
Deduct 0 from 260 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

On to step 11:
434 can be fit into 2600 5 times, resulting in a remainder of 430.
Put 5 as the next digit of the answer. 
Result so far: 30825.605
The remainder is 430 after subtracting 2170 from 2600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Advancing to step 12:
434 can be fit into 4300 9 times, resulting in a remainder of 394.
Put 9 as the next digit of the answer. 
Result so far: 30825.6059
If we subtract 3906 from 4300, we get 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Going ahead to step 13:
3940 divided by 434 is 9 with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 30825.60599
The remainder is 34 after subtracting 3906 from 3940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 30825.60599 with a remaining 3.4e-05.