Answer:
The given expression for the division is 23,529/23
Evaluating the expression using mental math gives;
23,529/23 = (23,000 + 230 + 230 + 23 × 3)/23 = 1000 + 10 + 10 + 3 = 1,023
Evaluating the expression using the division algorithm states as follows;
When an integer a is divided by another integer n, then we can find the numbers q and r such that a = b·q + r and a/b = q + r/b, where, b > 0, and 0 ≤ r ≤ b
Where;
q = The quotient
r = The reminder
Therefore, we have;
23,529 = 23×q + r
Given that 23 × 1029 = 25,529, we have
23,529 = 23 × 1029 + 0
Therefore, q = 1029, and r = 0
Step-by-step explanation:
