8914 ÷ 73 
We're looking to find how many times 73 goes into 8914.

Step 1:
When dividing 8 by 73, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 73

On to step 2:
73 goes into 89 1 times with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
If we take 73 away from 89, we end up with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 73

Moving on to step 3:
If we divide 161 by 73, we get 2 and a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 146 from 161 leaves us with 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 73

Moving on to step 4:
If we divide 154 by 73, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
Deduct 146 from 154 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 5:
73 can be fit into 80 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 122.1
If we take 73 away from 80, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
73 can be fit into 70 0 times, resulting in a remainder of 70.
The next digit of our result is 0. 
Result so far: 122.1
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
700 divided by 73 is 9 with a remainder of 43.
The next digit of our result is 9. 
Result so far: 122.109
Subtract 657 from 700 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
When dividing 430 by 73, we get 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 122.1095
The remainder is 65 after subtracting 365 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 9:
650 divided by 73 is 8 with a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 122.10958
Subtracting 584 from 650 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 10:
660 divided by 73 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 122.109589
If we take 657 away from 660, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
The number 73 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 122.109589
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
73 can be fit into 300 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 122.10958904
Subtract 292 from 300 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.

The quotient of the division is 122.10958904, and the remainder is 8e-09.