What will be the remainder when 283 is divided by 22?

Options

A. 3
B. 19
C. 17
D. 16

Answer

To find the remainder when 283 is divided by 22, we can follow these steps:

### Step 1: Set up the division
We need to divide 283 by 22. We can write this as:
\[ 283 \div 22 \]

### Step 2: Perform the division
We start by determining how many times 22 can fit into 283.

- **First, we check how many times 22 fits into 28 (the first two digits of 283)**:
- 22 fits into 28 once (1 time).
- \( 22 \times 1 = 22 \)

### Step 3: Subtract to find the remainder
Now we subtract 22 from 28:
\[ 28 - 22 = 6 \]

Next, we bring down the next digit (which is 3 from 283) to make it 63.

### Step 4: Divide again
Now we check how many times 22 fits into 63:
- 22 fits into 63 two times (2 times).
- \( 22 \times 2 = 44 \)

### Step 5: Subtract again
Now we subtract 44 from 63:
\[ 63 - 44 = 19 \]

### Step 6: Conclusion
Since there are no more digits to bring down, the remainder when 283 is divided by 22 is:
\[ \text{Remainder} = 19 \]

Thus, the answer is:
**19**

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