105335 ÷ 79 
We want to figure out the number of times 105335 can be divided by 79.

Moving on to step 1:
79 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 79

Going ahead to step 2:
When dividing 10 by 79, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 79

Step 3:
If we divide 105 by 79, we get 1 and a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 79 from 105, we get 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 79

On to step 4:
When dividing 263 by 79, we get 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 237 from 263 leaves us with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 79

Step 5:
263 divided by 79 is 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 133.0
Subtract 237 from 263 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 79

On to step 6:
The number 79 fits into 265 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 1333.0
Subtracting 237 from 265 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
79 goes into 280 3 times with a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 1333.3
Subtracting 237 from 280 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
430 divided by 79 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 1333.35
If we subtract 395 from 430, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
When dividing 350 by 79, we get 4 with a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 1333.354
Subtract 316 from 350 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
79 goes into 340 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 1333.3544
Subtracting 316 from 340 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 1333.3544, and the remainder is 0.00024.