We divide 4453463 by 679
We want to figure out the number of times 4453463 can be divided by 679.

On to step 1:
The number 679 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 679

Moving on to step 2:
The number 679 fits into 44 0 times, leaving a remainder of 44.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Include the next digit (5) from the dividend after 44, then repeat: 445 / 679

Moving on to step 3:
679 goes into 445 0 times with a remainder of 445.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 445 to get 445.
Append the next digit (3) from the dividend to 445 and continue with: 4453 / 679

On to step 4:
When dividing 4453 by 679, we get 6 with a remainder of 379.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 379 after subtracting 4074 from 4453.
Append the next digit (4) from the dividend to 379 and continue with: 3794 / 679

On to step 5:
The number 679 fits into 3794 5 times, leaving a remainder of 399.
Write down 5 as next digit of the result. 
Result so far: 65.0
The remainder is 399 after subtracting 3395 from 3794.
Fetch the next digit (6) from the dividend, attach it to 399 and continue: 3996 / 679

On to step 6:
If we divide 3996 by 679, we get 5 and a remainder of 601.
Put 5 as the next digit of the answer. 
Result so far: 655.0
If we subtract 3395 from 3996, we get 601.
Fetch the next digit (3) from the dividend, attach it to 601 and continue: 6013 / 679

Step 7:
679 can be fit into 6013 8 times, resulting in a remainder of 581.
The number 8 becomes the next digit in our result. 
Result so far: 6558.0
Subtracting 5432 from 6013 leaves us with 581.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5810, and continue the process.

Advancing to step 8:
679 can be fit into 5810 8 times, resulting in a remainder of 378.
Put 8 as the next digit of the answer. 
Result so far: 6558.8
If we subtract 5432 from 5810, we get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Moving on to step 9:
When dividing 3780 by 679, we get 5 with a remainder of 385.
Put 5 as the next digit of the answer. 
Result so far: 6558.85
If we subtract 3395 from 3780, we get 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

Going ahead to step 10:
679 can be fit into 3850 5 times, resulting in a remainder of 455.
The next digit of our result is 5. 
Result so far: 6558.855
Subtracting 3395 from 3850 leaves us with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

After the division, we end up with 6558.855 and a remainder of 0.0455.