We're dividing 321344 by 7 
Our goal is to divide 321344 by 7.

On to step 1:
7 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 2:
When dividing 32 by 7, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 28 from 32 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 7

On to step 3:
When dividing 41 by 7, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
If we subtract 35 from 41, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Advancing to step 4:
When dividing 63 by 7, we get 9 with a remainder of 0.
The next digit of our result is 9. 
Result so far: 459.0
Subtract 63 from 63 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 7

Step 5:
4 divided by 7 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 4590.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 7

On to step 6:
The number 7 fits into 44 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 45906.0
Subtracting 42 from 44 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 45906.2
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 45906.28
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 45906.285
Subtracting 35 from 40 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 45906.2857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
If we divide 10 by 7, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 45906.28571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 45906.285714
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
7 goes into 20 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 45906.2857142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 45906.28571428
Subtracting 56 from 60 leaves us 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.

The quotient of the division is 45906.28571428, and the remainder is 4e-09.