Let's divide 13153878 by 434
We want to figure out the number of times 13153878 can be divided by 434.

Going ahead to step 1:
The number 434 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 434

Moving on to step 2:
434 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 434

Moving on to step 3:
131 divided by 434 is 0 with a remainder of 131.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 131 leaves us with 131.
Take the next digit (5) from the dividend and append it to 131, then repeat: 1315 / 434

On to step 4:
1315 divided by 434 is 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 1302 from 1315 leaves us with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 434

Step 5:
434 can be fit into 133 0 times, resulting in a remainder of 133.
Write down 0 as next digit of the result. 
Result so far: 30.0
If we subtract 0 from 133, we get 133.
Fetch the next digit (8) from the dividend, attach it to 133 and continue: 1338 / 434

On to step 6:
If we divide 1338 by 434, we get 3 and a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 303.0
If we subtract 1302 from 1338, we get 36.
Append the next digit (7) from the dividend to 36 and continue with: 367 / 434

Moving on to step 7:
434 can be fit into 367 0 times, resulting in a remainder of 367.
Use 0 as the next digit of our solution. 
Result so far: 3030.0
Subtracting 0 from 367 leaves us with 367.
Fetch the next digit (8) from the dividend, attach it to 367 and continue: 3678 / 434

Going ahead to step 8:
If we divide 3678 by 434, we get 8 and a remainder of 206.
Write down 8 as next digit of the result. 
Result so far: 30308.0
Deduct 3472 from 3678 and we're left with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Moving on to step 9:
If we divide 2060 by 434, we get 4 and a remainder of 324.
Write down 4 as next digit of the result. 
Result so far: 30308.4
Subtract 1736 from 2060 to get 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Moving on to step 10:
434 can be fit into 3240 7 times, resulting in a remainder of 202.
The number 7 becomes the next digit in our result. 
Result so far: 30308.47
Subtracting 3038 from 3240 leaves us with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Moving on to step 11:
434 can be fit into 2020 4 times, resulting in a remainder of 284.
The next digit of our result is 4. 
Result so far: 30308.474
Deduct 1736 from 2020 and we're left with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Let's proceed to step 12:
434 can be fit into 2840 6 times, resulting in a remainder of 236.
Write down 6 as next digit of the result. 
Result so far: 30308.4746
Subtract 2604 from 2840 to get 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Going ahead to step 13:
2360 divided by 434 is 5 with a remainder of 190.
The next digit of our result is 5. 
Result so far: 30308.47465
If we take 2170 away from 2360, we end up with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Advancing to step 14:
434 goes into 1900 4 times with a remainder of 164.
The number 4 becomes the next digit in our result. 
Result so far: 30308.474654
The remainder is 164 after subtracting 1736 from 1900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Step 15:
The number 434 fits into 1640 3 times, leaving a remainder of 338.
Record the quotient 3 as the next digit in the result. 
Result so far: 30308.4746543
Subtracting 1302 from 1640 leaves us with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

On to step 16:
434 can be fit into 3380 7 times, resulting in a remainder of 342.
Put 7 as the next digit of the answer. 
Result so far: 30308.47465437
If we subtract 3038 from 3380, we get 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

After the division, we end up with 30308.47465437 and a remainder of 3.42e-07.