We're dividing 22261 by 79 
We're looking to find how many times 79 goes into 22261.

Going ahead to step 1:
The number 79 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 79

Advancing to step 2:
When dividing 22 by 79, we get 0 with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 22 and we're left with 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 79

Step 3:
79 goes into 222 2 times with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 158 from 222 to get 64.
Fetch the next digit (6) from the dividend, attach it to 64 and continue: 646 / 79

Going ahead to step 4:
79 goes into 646 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 28.0
Subtract 632 from 646 to get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 79

Let's proceed to step 5:
79 goes into 141 1 times with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 281.0
Subtract 79 from 141 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 6:
When dividing 620 by 79, we get 7 with a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 281.7
If we take 553 away from 620, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
670 divided by 79 is 8 with a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 281.78
Subtracting 632 from 670 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
79 goes into 380 4 times with a remainder of 64.
The next digit of our result is 4. 
Result so far: 281.784
If we subtract 316 from 380, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
If we divide 640 by 79, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 281.7848
Subtract 632 from 640 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
80 divided by 79 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 281.78481
Subtracting 79 from 80 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
When dividing 10 by 79, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 281.78481
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 79 is 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 281.7848101
Subtract 79 from 100 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
79 goes into 210 2 times with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 281.78481012
If we subtract 158 from 210, we 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.

The quotient of the division is 281.78481012, and the remainder is 5.2e-08.