We divide 461407 by 7
We want to divide 461407 by 7.

On to step 1:
4 divided by 7 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Moving on to step 2:
7 goes into 46 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 42 from 46 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 7

Advancing to step 3:
7 goes into 41 5 times with a remainder of 6.
The next digit of our result is 5. 
Result so far: 65.0
The remainder is 6 after subtracting 35 from 41.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 7

Step 4:
64 divided by 7 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 659.0
Subtract 63 from 64 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 7

On to step 5:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 6591.0
Deduct 7 from 10 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 7

On to step 6:
7 goes into 37 5 times with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 65915.0
The remainder is 2 after subtracting 35 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 7, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 65915.2
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
60 divided by 7 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 65915.28
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 65915.285
If we take 35 away from 40, we end up 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.

Step 10:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 65915.2857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 65915.28571
If we subtract 7 from 10, we 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.

Step 12:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 65915.285714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 65915.2857142
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 65915.28571428
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 65915.28571428 with a remainder of 4e-09.