We divide 7415 by 7
We want to divide 7415 by 7.

Let's proceed to step 1:
7 divided by 7 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 7

Advancing to step 2:
When dividing 4 by 7, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 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.
Put 5 as the next digit of the answer. 
Result so far: 105.0
Deduct 35 from 41 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 4:
When dividing 65 by 7, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 1059.0
The remainder is 2 after subtracting 63 from 65.
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 5:
If we divide 20 by 7, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1059.2
If we take 14 away from 20, we end up 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 6:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1059.28
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.

Moving on to step 7:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 1059.285
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.

Let's proceed to step 8:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1059.2857
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.

Let's proceed to step 9:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1059.28571
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.

Advancing to step 10:
If we divide 30 by 7, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 1059.285714
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.

On to step 11:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1059.2857142
Deduct 14 from 20 and we're left 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.

Let's proceed to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 1059.28571428
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 outcome is 1059.28571428, with a leftover of 4e-09.