4638403 divided by 344 
We want to figure out the number of times 4638403 can be divided by 344.

Going ahead to step 1:
344 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 344

Going ahead to step 2:
344 can be fit into 46 0 times, resulting in a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Include the next digit (3) from the dividend after 46, then repeat: 463 / 344

Step 3:
When dividing 463 by 344, we get 1 with a remainder of 119.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 119 after subtracting 344 from 463.
Take the next digit (8) from the dividend and append it to 119, then repeat: 1198 / 344

Step 4:
344 goes into 1198 3 times with a remainder of 166.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 1032 from 1198 to get 166.
Include the next digit (4) from the dividend after 166, then repeat: 1664 / 344

Let's proceed to step 5:
1664 divided by 344 is 4 with a remainder of 288.
Use 4 as the next digit of our solution. 
Result so far: 134.0
Subtract 1376 from 1664 to get 288.
Include the next digit (0) from the dividend after 288, then repeat: 2880 / 344

On to step 6:
2880 divided by 344 is 8 with a remainder of 128.
Record the quotient 8 as the next digit in the result. 
Result so far: 1348.0
Subtracting 2752 from 2880 leaves us with 128.
Include the next digit (3) from the dividend after 128, then repeat: 1283 / 344

Advancing to step 7:
When dividing 1283 by 344, we get 3 with a remainder of 251.
Use 3 as the next digit of our solution. 
Result so far: 13483.0
The remainder is 251 after subtracting 1032 from 1283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Advancing to step 8:
The number 344 fits into 2510 7 times, leaving a remainder of 102.
The number 7 becomes the next digit in our result. 
Result so far: 13483.7
Subtracting 2408 from 2510 leaves us with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

On to step 9:
When dividing 1020 by 344, we get 2 with a remainder of 332.
The next digit of our result is 2. 
Result so far: 13483.72
If we subtract 688 from 1020, we get 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Going ahead to step 10:
When dividing 3320 by 344, we get 9 with a remainder of 224.
Record the quotient 9 as the next digit in the result. 
Result so far: 13483.729
Subtracting 3096 from 3320 leaves us with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Moving on to step 11:
344 can be fit into 2240 6 times, resulting in a remainder of 176.
Use 6 as the next digit of our solution. 
Result so far: 13483.7296
If we take 2064 away from 2240, we end up with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 12:
344 can be fit into 1760 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 13483.72965
If we subtract 1720 from 1760, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
344 goes into 400 1 times with a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 13483.729651
Subtracting 344 from 400 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 14:
The number 344 fits into 560 1 times, leaving a remainder of 216.
Put 1 as the next digit of the answer. 
Result so far: 13483.7296511
Subtracting 344 from 560 leaves us with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The final outcome is 13483.7296511, with a leftover of 2.16e-06.