We divide 458946 by 65
We want to divide 458946 by 65.

Let's proceed to step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 65

Going ahead to step 2:
When dividing 45 by 65, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Fetch the next digit (8) from the dividend, attach it to 45 and continue: 458 / 65

Moving on to step 3:
65 can be fit into 458 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 455 from 458, we get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 65

On to step 4:
If we divide 39 by 65, we get 0 and a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtract 0 from 39 to get 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 65

Step 5:
When dividing 394 by 65, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 706.0
Subtracting 390 from 394 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 65

Advancing to step 6:
65 can be fit into 46 0 times, resulting in a remainder of 46.
The next digit of our result is 0. 
Result so far: 7060.0
If we subtract 0 from 46, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
460 divided by 65 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7060.7
If we subtract 455 from 460, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 65 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7060.7
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 65 is 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 7060.707
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 10:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 7060.7076
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 11:
When dividing 600 by 65, we get 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 7060.70769
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
The number 65 fits into 150 2 times, leaving a remainder of 20.
The next digit of our result is 2. 
Result so far: 7060.707692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
When dividing 200 by 65, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 7060.7076923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7060.7076923
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 7060.7076923, and the remainder is 5e-08.