Let's divide 344401 by 8
We want to figure out the number of times 344401 can be divided by 8.

Advancing to step 1:
3 divided by 8 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 8

Moving on to step 2:
When dividing 34 by 8, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 32 from 34 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 8

Advancing to step 3:
8 can be fit into 24 3 times, resulting in a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Deduct 24 from 24 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 8

Let's proceed to step 4:
8 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 430.0
Subtract 0 from 4 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 8

Step 5:
If we divide 40 by 8, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 4305.0
The remainder is 0 after subtracting 40 from 40.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 8

Step 6:
8 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 43050.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 8, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 43050.1
If we subtract 8 from 10, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 8, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 43050.12
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
8 goes into 40 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 43050.125
Subtracting 40 from 40 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
0 divided by 8 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 43050.125
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 43050.125
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 43050.125, with a leftover of 0.0.