But bringing just one digit down didn’t give us a number high enough to be divided into. You multiply the third digit of the quotient times the divisor to get the number on line E.įollowing this route, you would multiply the fourth digit of the quotient against the divisor to get the number on line G. You multiply 7 times the divisor to get the number on line C. You multiply the first digit of the quotient times the divisor to get the number on line A.
You multiply the divisor by whatever number gets you closest to the given digits of the dividend, subtract the remainder, bring down the next digit from the dividend, and do it all over again until you get your answer. We bring both of the last two digits in the dividend down for the final part of the equation. What else do we know from the puzzle as it stands? I divided 1000 by 7, and 142 is the last 3-digit number you can multiply 7 against and still end up with a 3-digit answer for line C.
That means the quotient is somewhere between 100 and 142. Why? Because if it was 2, 2 times 7 would give us 14, which would be a 4-digit number on that line. That’s a 3-digit number, which means the first number in our divisor is 1. So our divisor, times 7, equals the number on line C. We know that 7 is the second digit in our quotient. Now, where do we go from here? We start with what we know. The 5-digit number on top is our quotient.įor the other lines, let’s label them A through G for ease of reference later. The 3-digit number we’re dividing into it is the divisor. The 8-digit number being divided is our dividend. Let’s break it down step by step.įirst, we need to know our terminology. No letters or encryption to let us know which digits were repeated, as there are in Word Math puzzles published by our friends at Penny Dell Puzzles. Yup, an entire long division problem with only a single digit set. That was the case with today’s puzzle, and I’ll admit, this one was a bit of a doozy to unravel. Other times, PuzzleNationers will ask for my assistance in solving a puzzle that has flummoxed them. Sometimes they come from friends, or fellow puzzlers. From time to time, I’ll receive an email with a brain teaser I’ve never seen before.
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