433959 ÷ 7 
We want to divide 433959 by 7.

On to step 1:
The number 7 fits into 4 0 times, leaving 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.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 7

Let's proceed to step 2:
7 goes into 43 6 times with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 42 from 43 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 7

Step 3:
When dividing 13 by 7, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtracting 7 from 13 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 7

Going ahead to step 4:
69 divided by 7 is 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 619.0
Deduct 63 from 69 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 7

Let's proceed to step 5:
If we divide 65 by 7, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6199.0
If we take 63 away from 65, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 7

Step 6:
7 can be fit into 29 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 61994.0
If we take 28 away from 29, we end up with 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 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 61994.1
Subtracting 7 from 10 leaves us 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 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 61994.14
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.

Let's proceed to step 9:
When dividing 20 by 7, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 61994.142
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.

Step 10:
60 divided by 7 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 61994.1428
Subtracting 56 from 60 leaves us 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.

Let's proceed to step 11:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 61994.14285
Subtract 35 from 40 to 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.

Step 12:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 61994.142857
Subtract 49 from 50 to 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.

Advancing to step 13:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 61994.1428571
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.

Step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 61994.14285714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 61994.14285714 with a balance of 2e-09.