Let's divide 434961 by 7
We want to divide 434961 by 7.

Let's proceed to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
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:
When dividing 43 by 7, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 42 away from 43, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 7

Step 3:
7 can be fit into 14 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 62.0
Deduct 14 from 14 and we're left with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 7

Let's proceed to step 4:
When dividing 9 by 7, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 621.0
Subtract 7 from 9 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 5:
The number 7 fits into 26 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 6213.0
Deduct 21 from 26 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 7

Let's proceed to step 6:
7 goes into 51 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 62137.0
Subtracting 49 from 51 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.

Advancing to step 7:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 62137.2
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.

Going ahead to step 8:
If we divide 60 by 7, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 62137.28
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.

Advancing to step 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 62137.285
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.

Let's proceed to step 10:
7 goes into 50 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 62137.2857
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.

Moving on to step 11:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 62137.28571
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.

Moving on to step 12:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 62137.285714
Deduct 28 from 30 and we're left 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.

Let's proceed to step 13:
7 goes into 20 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 62137.2857142
Subtract 14 from 20 to 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.

Let's proceed to step 14:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 62137.28571428
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 62137.28571428 with a remainder of 4e-09.