70583 ÷ 79 
We want to figure out the number of times 70583 can be divided by 79.

Step 1:
79 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 79

Moving on to step 2:
When dividing 70 by 79, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 70, we end up with 70.
Fetch the next digit (5) from the dividend, attach it to 70 and continue: 705 / 79

Let's proceed to step 3:
79 can be fit into 705 8 times, resulting in a remainder of 73.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 632 from 705, we get 73.
Take the next digit (8) from the dividend and append it to 73, then repeat: 738 / 79

On to step 4:
738 divided by 79 is 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 89.0
Subtracting 711 from 738 leaves us with 27.
Fetch the next digit (3) from the dividend, attach it to 27 and continue: 273 / 79

Let's proceed to step 5:
273 divided by 79 is 3 with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 893.0
If we take 237 away from 273, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 6:
If we divide 360 by 79, we get 4 and a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 893.4
Subtract 316 from 360 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
When dividing 440 by 79, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 893.45
If we subtract 395 from 440, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
If we divide 450 by 79, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 893.455
If we take 395 away from 450, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 893.455 with a remaining 0.0055.