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Question Solve the following and identify the remainder, if any. Check whether N = D × Q + R in each case.
(a) 9,045 ÷ 5
Here, N = 9045, D = 5, Q = 1809, R = 0
Since, 9045 = 5 × 1809 + 0
Therefore, N = D × Q + R
(b) 1,034 ÷ 4
Solution:
Here, N = 1034, D = 4, Q = 258, R = 2
Since, 1034 = 4 × 258 + 2
Therefore, N = D × Q + R
(c) 2,504 ÷ 7
Solution:
Here, N = 2504, D = 7, Q = 357, R = 5
Since, 2504 = 7 × 357 + 5
Therefore, N = D × Q + R
(d) 8,900 ÷ 15
Solution:
Here, N = 8900, D = 15, Q = 593, R = 5
Since, 8900 = 15 × 593 + 5
Therefore, N = D × Q + R
(e) 9,876 ÷ 32
Solution:
Here, N = 9876, D = 32, Q = 308, R = 20
Since, 9872 = 32 × 308 + 20
Therefore, N = D × Q + R
(f) 7,506 ÷ 24
Solution:
Here, N = 7506, D = 24, Q = 312, R = 18
Since, 7506 = 24 × 312 + 18
Therefore, N = D × Q + R