433975 divided by 7 
Our goal is to divide 433975 by 7.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 7

Step 2:
If we divide 43 by 7, we get 6 and a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 42 away from 43, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Going ahead to step 3:
13 divided by 7 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we take 7 away from 13, we end up with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 7

On to step 4:
When dividing 69 by 7, we get 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 619.0
The remainder is 6 after subtracting 63 from 69.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 7

Step 5:
When dividing 67 by 7, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 6199.0
If we subtract 63 from 67, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 7

Let's proceed to step 6:
When dividing 45 by 7, we get 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 61996.0
The remainder is 3 after subtracting 42 from 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 61996.4
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 61996.42
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 61996.428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 61996.4285
Subtracting 35 from 40 leaves us 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.

Going ahead to step 11:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 61996.42857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
When dividing 10 by 7, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 61996.428571
Deduct 7 from 10 and we're left 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.

Advancing to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 61996.4285714
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.

On to step 14:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 61996.42857142
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.

In conclusion, the division gives 61996.42857142 with a balance of 6e-09.