What is 445 divided by 4, expressed as quotient and remainder?

• A. 111
• B. 111 R 0
• C. 111 R 1
• D. 110 R 5

Answer: (C)

Dividing with a remainder means splitting a number into equal parts as many times as possible and noting what’s left over. For 445 divided by 4, 4 fits into 4 once, leaving 0. Bring down the next digit 4; 4 fits into that 4 once, again leaving 0. Finally, 4 fits into 5 once, leaving a remainder of 1. So the quotient is 111 and the remainder is 1, written as 111 R 1. This also satisfies 445 = 4 × 111 + 1. The remainder must be smaller than the divisor, so a remainder like 5 wouldn’t be allowed here, and a remainder of 0 would imply 445 is divisible by 4, which it isn’t.