What is the remainder when 1069 is divided by 7?

Options

A. 0
B. 1
C. 6
D. 5

Answer

To find the remainder when 1069 is divided by 7, we can follow these steps:

### Step 1: Perform the Division
We need to divide 1069 by 7. We can do this using long division or by estimating how many times 7 fits into 1069.

### Step 2: Calculate the Quotient
First, we find how many times 7 can fit into the first part of 1069.
- 7 goes into 10 (the first two digits of 1069) 1 time (since 7 x 1 = 7).
- Subtract 7 from 10, which gives us a remainder of 3.
- Bring down the next digit (6), making it 36.

### Step 3: Continue the Division
Now, we see how many times 7 fits into 36.
- 7 goes into 36 five times (since 7 x 5 = 35).
- Subtract 35 from 36, which gives us a remainder of 1.
- Bring down the next digit (9), making it 19.

### Step 4: Final Division
Now, we see how many times 7 fits into 19.
- 7 goes into 19 two times (since 7 x 2 = 14).
- Subtract 14 from 19, which gives us a remainder of 5.

### Step 5: Conclusion
The final remainder when 1069 is divided by 7 is 5.

Thus, the answer is **5**.

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