Let's divide 4586913 by 434
We want to figure out the number of times 4586913 can be divided by 434.

Going ahead to step 1:
If we divide 4 by 434, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 434

Step 2:
434 can be fit into 45 0 times, resulting in a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 434

On to step 3:
If we divide 458 by 434, we get 1 and a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 434 from 458 to get 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 434

Going ahead to step 4:
434 goes into 246 0 times with a remainder of 246.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 246 and we're left with 246.
Append the next digit (9) from the dividend to 246 and continue with: 2469 / 434

Advancing to step 5:
2469 divided by 434 is 5 with a remainder of 299.
Put 5 as the next digit of the answer. 
Result so far: 105.0
The remainder is 299 after subtracting 2170 from 2469.
Append the next digit (1) from the dividend to 299 and continue with: 2991 / 434

Moving on to step 6:
434 can be fit into 2991 6 times, resulting in a remainder of 387.
Record the quotient 6 as the next digit in the result. 
Result so far: 1056.0
Subtract 2604 from 2991 to get 387.
Take the next digit (3) from the dividend and append it to 387, then repeat: 3873 / 434

On to step 7:
434 goes into 3873 8 times with a remainder of 401.
The next digit of our result is 8. 
Result so far: 10568.0
Deduct 3472 from 3873 and we're left with 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

Let's proceed to step 8:
434 can be fit into 4010 9 times, resulting in a remainder of 104.
Use 9 as the next digit of our solution. 
Result so far: 10568.9
The remainder is 104 after subtracting 3906 from 4010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Going ahead to step 9:
434 can be fit into 1040 2 times, resulting in a remainder of 172.
The next digit of our result is 2. 
Result so far: 10568.92
Subtracting 868 from 1040 leaves us with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Going ahead to step 10:
If we divide 1720 by 434, we get 3 and a remainder of 418.
Use 3 as the next digit of our solution. 
Result so far: 10568.923
If we take 1302 away from 1720, we end up with 418.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Moving on to step 11:
434 can be fit into 4180 9 times, resulting in a remainder of 274.
Put 9 as the next digit of the answer. 
Result so far: 10568.9239
If we take 3906 away from 4180, we end up with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Going ahead to step 12:
The number 434 fits into 2740 6 times, leaving a remainder of 136.
The number 6 becomes the next digit in our result. 
Result so far: 10568.92396
If we take 2604 away from 2740, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

On to step 13:
The number 434 fits into 1360 3 times, leaving a remainder of 58.
Record the quotient 3 as the next digit in the result. 
Result so far: 10568.923963
If we subtract 1302 from 1360, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 14:
434 goes into 580 1 times with a remainder of 146.
Use 1 as the next digit of our solution. 
Result so far: 10568.9239631
Subtract 434 from 580 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Moving on to step 15:
434 goes into 1460 3 times with a remainder of 158.
Use 3 as the next digit of our solution. 
Result so far: 10568.92396313
Subtracting 1302 from 1460 leaves us with 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

The final result is 10568.92396313 with a remainder of 1.58e-07.