We look at the division of 13586222 by 434 
We want to divide 13586222 by 434.

Moving on to step 1:
434 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 434

Going ahead to step 2:
434 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 434

Moving on to step 3:
The number 434 fits into 135 0 times, leaving a remainder of 135.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 135 to get 135.
Fetch the next digit (8) from the dividend, attach it to 135 and continue: 1358 / 434

On to step 4:
If we divide 1358 by 434, we get 3 and a remainder of 56.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 1302 from 1358, we get 56.
Bring next digit (6) of the dividend behind the 56 and repeat the process: 566 / 434

Step 5:
When dividing 566 by 434, we get 1 with a remainder of 132.
The next digit of our result is 1. 
Result so far: 31.0
If we take 434 away from 566, we end up with 132.
Take the next digit (2) from the dividend and append it to 132, then repeat: 1322 / 434

Moving on to step 6:
If we divide 1322 by 434, we get 3 and a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 313.0
Deduct 1302 from 1322 and we're left with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 434

Step 7:
202 divided by 434 is 0 with a remainder of 202.
Write down 0 as next digit of the result. 
Result so far: 3130.0
If we take 0 away from 202, we end up with 202.
Include the next digit (2) from the dividend after 202, then repeat: 2022 / 434

On to step 8:
434 goes into 2022 4 times with a remainder of 286.
Write down 4 as next digit of the result. 
Result so far: 31304.0
If we take 1736 away from 2022, we end up with 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Moving on to step 9:
434 can be fit into 2860 6 times, resulting in a remainder of 256.
The number 6 becomes the next digit in our result. 
Result so far: 31304.6
Subtracting 2604 from 2860 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 10:
The number 434 fits into 2560 5 times, leaving a remainder of 390.
The next digit of our result is 5. 
Result so far: 31304.65
Deduct 2170 from 2560 and we're left with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Advancing to step 11:
434 can be fit into 3900 8 times, resulting in a remainder of 428.
The number 8 becomes the next digit in our result. 
Result so far: 31304.658
Deduct 3472 from 3900 and we're left with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Moving on to step 12:
If we divide 4280 by 434, we get 9 and a remainder of 374.
The number 9 becomes the next digit in our result. 
Result so far: 31304.6589
Subtracting 3906 from 4280 leaves us with 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Going ahead to step 13:
434 goes into 3740 8 times with a remainder of 268.
Record the quotient 8 as the next digit in the result. 
Result so far: 31304.65898
If we take 3472 away from 3740, we end up with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Step 14:
434 goes into 2680 6 times with a remainder of 76.
The next digit of our result is 6. 
Result so far: 31304.658986
Deduct 2604 from 2680 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 15:
760 divided by 434 is 1 with a remainder of 326.
Use 1 as the next digit of our solution. 
Result so far: 31304.6589861
The remainder is 326 after subtracting 434 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Going ahead to step 16:
3260 divided by 434 is 7 with a remainder of 222.
Record the quotient 7 as the next digit in the result. 
Result so far: 31304.65898617
Subtracting 3038 from 3260 leaves us with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

The quotient of the division is 31304.65898617, and the remainder is 2.22e-07.