13825006 divided by 344 
We want to figure out the number of times 13825006 can be divided by 344.

Advancing to step 1:
1 divided by 344 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
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 / 344

Step 2:
13 divided by 344 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 344

Advancing to step 3:
The number 344 fits into 138 0 times, leaving a remainder of 138.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 138, we end up with 138.
Append the next digit (2) from the dividend to 138 and continue with: 1382 / 344

Let's proceed to step 4:
When dividing 1382 by 344, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 1376 away from 1382, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 344

Going ahead to step 5:
The number 344 fits into 65 0 times, leaving a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 40.0
Subtracting 0 from 65 leaves us with 65.
Grab the next digit (0) from the dividend, add it to 65, then carry on: 650 / 344

Moving on to step 6:
When dividing 650 by 344, we get 1 with a remainder of 306.
The next digit of our result is 1. 
Result so far: 401.0
Deduct 344 from 650 and we're left with 306.
Grab the next digit (0) from the dividend, add it to 306, then carry on: 3060 / 344

Moving on to step 7:
344 goes into 3060 8 times with a remainder of 308.
Record the quotient 8 as the next digit in the result. 
Result so far: 4018.0
The remainder is 308 after subtracting 2752 from 3060.
Append the next digit (6) from the dividend to 308 and continue with: 3086 / 344

On to step 8:
344 can be fit into 3086 8 times, resulting in a remainder of 334.
The next digit of our result is 8. 
Result so far: 40188.0
Deduct 2752 from 3086 and we're left with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Going ahead to step 9:
344 goes into 3340 9 times with a remainder of 244.
Write down 9 as next digit of the result. 
Result so far: 40188.9
The remainder is 244 after subtracting 3096 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Going ahead to step 10:
The number 344 fits into 2440 7 times, leaving a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 40188.97
Subtract 2408 from 2440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
The number 344 fits into 320 0 times, leaving a remainder of 320.
Use 0 as the next digit of our solution. 
Result so far: 40188.97
Subtracting 0 from 320 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Going ahead to step 12:
3200 divided by 344 is 9 with a remainder of 104.
The number 9 becomes the next digit in our result. 
Result so far: 40188.9709
Subtracting 3096 from 3200 leaves us with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 13:
1040 divided by 344 is 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 40188.97093
If we subtract 1032 from 1040, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
The number 344 fits into 80 0 times, leaving a remainder of 80.
The next digit of our result is 0. 
Result so far: 40188.97093
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 15:
344 can be fit into 800 2 times, resulting in a remainder of 112.
Write down 2 as next digit of the result. 
Result so far: 40188.9709302
If we subtract 688 from 800, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 16:
1120 divided by 344 is 3 with a remainder of 88.
Record the quotient 3 as the next digit in the result. 
Result so far: 40188.97093023
The remainder is 88 after subtracting 1032 from 1120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final outcome is 40188.97093023, with a leftover of 8.8e-08.