Question - Solving a Division Problem

The given image shows a division problem where the number 214 is to be divided by 2.

Step 1: Determine how many times 2 goes into the first digit of the dividend (2). Since 2 goes into 2 exactly once, write 1 above the first digit of the dividend.

Step 2: Multiply this 1 by 2, which equals 2, and write this product below the first digit of the dividend. Then subtract this product from the first digit of the dividend. The result is 0.

Step 3: Bring down the next digit (1) beside the 0, making it 01 or simply 1. Now determine how many times 2 goes into 1, which is 0 times since 2 is larger than 1. Write 0 above the second digit of the dividend.

Step 4: Since 2 goes into 1 zero times, you multiply 0 by 2, which equals 0, and write this product below the second digit. Subtract this product from the second digit of the dividend. The result is still 1.

Step 5: Bring down the next digit of the dividend (4) beside 1, making the number 14. Now determine how many times 2 goes into 14, which is 7 times. Write 7 above the third digit of the dividend.

Step 6: Multiply 7 by 2, which equals 14, and write this product below the number 14. Subtract this product from 14, and the result is 0. There are no more digits to bring down, so the division is complete.

Thus, the quotient is 107 with a remainder of 0, which finalizes the solution as \(214 \div 2 = 107\).