We look at the division of 673626 by 344 
Let's see how many times 344 fits into 673626.

Step 1:
344 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 344

Let's proceed to step 2:
67 divided by 344 is 0 with a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 67 after subtracting 0 from 67.
Grab the next digit (3) from the dividend, add it to 67, then carry on: 673 / 344

Going ahead to step 3:
344 can be fit into 673 1 times, resulting in a remainder of 329.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 344 from 673 leaves us with 329.
Take the next digit (6) from the dividend and append it to 329, then repeat: 3296 / 344

Going ahead to step 4:
When dividing 3296 by 344, we get 9 with a remainder of 200.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we take 3096 away from 3296, we end up with 200.
Bring next digit (2) of the dividend behind the 200 and repeat the process: 2002 / 344

Going ahead to step 5:
If we divide 2002 by 344, we get 5 and a remainder of 282.
Record the quotient 5 as the next digit in the result. 
Result so far: 195.0
Subtracting 1720 from 2002 leaves us with 282.
Fetch the next digit (6) from the dividend, attach it to 282 and continue: 2826 / 344

Advancing to step 6:
The number 344 fits into 2826 8 times, leaving a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 1958.0
Subtracting 2752 from 2826 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 7:
When dividing 740 by 344, we get 2 with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 1958.2
Subtract 688 from 740 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
344 goes into 520 1 times with a remainder of 176.
Put 1 as the next digit of the answer. 
Result so far: 1958.21
Subtracting 344 from 520 leaves us 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.

Advancing to step 9:
The number 344 fits into 1760 5 times, leaving a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 1958.215
Deduct 1720 from 1760 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
When dividing 400 by 344, we get 1 with a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 1958.2151
The remainder is 56 after subtracting 344 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 11:
344 goes into 560 1 times with a remainder of 216.
Record the quotient 1 as the next digit in the result. 
Result so far: 1958.21511
The remainder is 216 after subtracting 344 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The quotient of the division is 1958.21511, and the remainder is 0.000216.