309461 ÷ 7 
We want to figure out the number of times 309461 can be divided by 7.

Let's proceed to step 1:
3 divided by 7 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 7

On to step 2:
If we divide 30 by 7, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 2 after subtracting 28 from 30.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 7

Let's proceed to step 3:
The number 7 fits into 29 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Subtracting 28 from 29 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 7

On to step 4:
When dividing 14 by 7, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 442.0
Subtracting 14 from 14 leaves us with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 7

On to step 5:
7 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 4420.0
Subtract 0 from 6 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 7

Let's proceed to step 6:
When dividing 61 by 7, we get 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 44208.0
Subtract 56 from 61 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.

Going ahead to step 7:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 44208.7
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.

Advancing to step 8:
10 divided by 7 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 44208.71
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.

Let's proceed to step 9:
When dividing 30 by 7, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 44208.714
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.

Step 10:
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: 44208.7142
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.

Advancing to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 44208.71428
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.

Step 12:
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: 44208.714285
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 13:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 44208.7142857
If we take 49 away from 50, 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.

Going ahead to step 14:
10 divided by 7 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 44208.71428571
Subtract 7 from 10 to 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.

The quotient of the division is 44208.71428571, and the remainder is 3e-09.