Answer: 212
Explanation:
To perform the division of 426 ÷ 2 using partial quotients, we can divide 426 into two parts, one part being close to the divisor, and the other part being the remainder.
We start by dividing 426 by 2 to get an estimate of the quotient. The closest multiple of 2 to 426 is 424, so we can write:
424 ÷ 2 = 212
Next, we subtract 424 from 426 to find the remainder:
426 - 424 = 2
We write the quotient (212) next to the dividend (426) and bring down the next digit (0) to form a new dividend of 20:
426 | 20
212
Repeat steps 1 to 3, dividing 20 by 2, to get:
20 ÷ 2 = 10
So, the final answer is:
426 ÷ 2 = 212 with a remainder of 0, or simply
426 ÷ 2 = 212.