We look at the division of 946657 by 73 
We want to divide 946657 by 73.

Step 1:
When dividing 9 by 73, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 73

On to step 2:
The number 73 fits into 94 1 times, leaving a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 73 from 94 to get 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 73

Step 3:
73 can be fit into 216 2 times, resulting in a remainder of 70.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 146 from 216, we get 70.
Fetch the next digit (6) from the dividend, attach it to 70 and continue: 706 / 73

On to step 4:
706 divided by 73 is 9 with a remainder of 49.
The next digit of our result is 9. 
Result so far: 129.0
Deduct 657 from 706 and we're left with 49.
Grab the next digit (5) from the dividend, add it to 49, then carry on: 495 / 73

Moving on to step 5:
73 goes into 495 6 times with a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 1296.0
Deduct 438 from 495 and we're left with 57.
Grab the next digit (7) from the dividend, add it to 57, then carry on: 577 / 73

Going ahead to step 6:
577 divided by 73 is 7 with a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 12967.0
If we subtract 511 from 577, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 7:
660 divided by 73 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 12967.9
Subtract 657 from 660 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
When dividing 30 by 73, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 12967.9
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
When dividing 300 by 73, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 12967.904
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.

Step 10:
73 can be fit into 80 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 12967.9041
If we subtract 73 from 80, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
70 divided by 73 is 0 with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 12967.9041
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 12:
700 divided by 73 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 12967.904109
If we take 657 away from 700, we end up 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.

Moving on to step 13:
73 goes into 430 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 12967.9041095
Subtracting 365 from 430 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 14:
If we divide 650 by 73, we get 8 and a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 12967.90410958
Deduct 584 from 650 and we're left 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.

The final result is 12967.90410958 with a remainder of 6.6e-08.