We look at the division of 583345 by 79 
We want to figure out the number of times 583345 can be divided by 79.

Let's proceed to step 1:
79 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 79

Going ahead to step 2:
The number 79 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Include the next digit (3) from the dividend after 58, then repeat: 583 / 79

Let's proceed to step 3:
583 divided by 79 is 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 553 from 583, we get 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 79

Step 4:
When dividing 303 by 79, we get 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 73.0
If we subtract 237 from 303, we get 66.
Grab the next digit (4) from the dividend, add it to 66, then carry on: 664 / 79

Let's proceed to step 5:
When dividing 664 by 79, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 738.0
If we subtract 632 from 664, we get 32.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 79

Step 6:
79 goes into 325 4 times with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 7384.0
If we take 316 away from 325, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
79 goes into 90 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 7384.1
If we take 79 away from 90, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
If we divide 110 by 79, we get 1 and a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 7384.11
Deduct 79 from 110 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 7384.11 and a remainder of 0.031.