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May 12th, 2019, 12:26 PM  #1 
Newbie Joined: Aug 2018 From: United Kingdom Posts: 2 Thanks: 0  Simple Long division issue is stressing me out.
Hi All I'm reading a book I physically own and I'm doing some Long Division from it. I'm trying to work out: a Double figure Divisor with a 4 figure Dividend. 16 / 4496. So I divide 16 into 44, giving me 2, and a remainder. I drop down and input 32, 44 Subtract 32, gives me 12 and I bring down the 9. Making 129 to work with: So I'm trying to divide 16 into 129, to give me 028 into the Quotient. I am using Pencil and paper and don't want to use a Calculator  I want to solve it. I rounded 16 to 20 and 129 to 30, to give me an Estimate of 6.  But I know 6 is wrong because the answer is 8 in the Book. So if I was to do, 16 x 7 = 112 4496  112 = 4384 and: 16 x 8 = 128 4496  128 = 4368 Etc. I also did 16 x 6 = 96 4496  96 = 4400 The answer for 6 is 4400 & is closest to the Dividend of 4496, than the other values, However the answer is still 8. I'm so so lost and confused, I've been doing this for hours. I understand I'm over complicating myself and everything is a complete mess. But I don't know how to solve it. Any help is much appreciated! Thank you! 
May 12th, 2019, 05:04 PM  #2  
Senior Member Joined: Aug 2012 Posts: 2,306 Thanks: 706  Quote:
Quote:
Or if you didn't remember that, you could just go, "Ok two times 16 is 32, and two times that is 64, and two times that is ... aha! 128. Just fits. So 16 integerdivided into 129 is 8 with remainder 1. We got 8 because we had to double 16 three times to get 128. And 2 x 2 x 2 = 8.  
May 12th, 2019, 05:06 PM  #3 
Member Joined: Mar 2019 From: TTF area Posts: 68 Thanks: 1 
So basically how I'd solve it: 16/4496 44:16=2 2×16=32 4432=12 bring the 9 down to get 129, 129:16=8 8×16=128 128129=1 bring 6 down 16, 16:16=1 1×16=16, 1616=0 so we have 281 hope this helps. Last edited by skipjack; May 12th, 2019 at 05:22 PM. 
May 12th, 2019, 05:20 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,623 Thanks: 2076 
As 16 × 6 = 96 and 129  96 = 33, the estimate of 6 is too low. Using 8 instead, the division proceeds as shown below. divide16.png 
May 13th, 2019, 02:19 AM  #5  
Senior Member Joined: Jun 2015 From: England Posts: 915 Thanks: 271  Quote:
In those days pupils used to learn up to their 16 times table for this reason. You started off brilliantly and worked out part of the 16 times table, but confused yourself when you did this Quote:
So the 44 was already done. This was correct. Quote:
Forget the rounding etc. That's trying to be too clever. Start with a 'guess' for 16 into 129 You can see it's a higher number, so start with 10; 10x16 = 160 easy but too much. So try 9 x16 = 144  still too much So try 8 x 16 = 128. This must be correct since it is the first one down the chain from 10 that works (is less than 129). It is usually easy to see whether we work up from 1 × or down from 10× Note I was constructing my own table as I went along by taking off 16 each time. This was probably why you tried to do the unsuccessful subtraction. Last edited by skipjack; May 13th, 2019 at 07:45 AM.  
May 13th, 2019, 10:53 PM  #6 
Newbie Joined: Aug 2018 From: United Kingdom Posts: 2 Thanks: 0 
Thanks everyone for the help! I overlooked it  to put it simple.  I completely missed the 129. I got the correct quotient in the end I'm so happy now! Thank you all! I really do Appreciate it. 

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division, issue, long, simple, stressing 
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