Find that remainder!

What is the remainder when 4321 4321 is divided by 321 321 ?


The answer is 148.

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14 solutions

Write 4321 as 4000 + 321; 4000 as 3210 + 790; 790 as 2(321) + 148;

Therefore, 4321/321 = 148.

Moderator note:

Good approach of removing multiples of 321.

Note that the last line should be rephrased slightly.

4000 + 321 4000 as 3210 + 790 790 as 2(321) + 148 Therefore, 4321/321 = 148.

Ismi Mursyid - 7 years, 10 months ago

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i really didn't understand...how the answer came 148

Suha Ahmed - 7 years, 10 months ago

the remainder when 4321 is divided by 321

Write 4321 as 4000 + 321; 4000 as 3210 + 790; 790 as 2(321) + 148;

Therefore, 4321/321 = 148.

Challenge Master note: Good approach of removing multiples of 321.

Note that the last line should be rephrased slightly... I wanna fight. yess

Ismi Mursyid - 7 years, 10 months ago

can you please explain this? i didn't understand the steps

Tron Promy - 7 years, 10 months ago

pls can u explain this ?

Taira Kim Dollete - 7 years, 10 months ago

can u explain how??????

Harish Hunk - 7 years, 10 months ago

He just divided 4321 into small multiples of 321 ( 3210. 2(321) ) and what he was left with was 148 and thats the remainder

Rahul Kumar - 7 years, 10 months ago

can make me confused

Apnesia Feronika - 7 years, 10 months ago

Did you use the Euclidean Algorithm?

Abdur Rehman Zahid - 6 years, 7 months ago
Joshua Crouch
Jul 28, 2013

4321/321=13.4610592

321 * 13.4610592=148.00

Moderator note:

I don't seem to understand what you are doing here. Also, how would you do the computations?

i dont understand how to compute this equation

Taira Kim Dollete - 7 years, 10 months ago

I WANT A FORMULA TO FIND THIS ANY ONE CAN HELP..............................

thirumeny santhoshsivan - 7 years, 10 months ago
Sifat Shishir
Sep 25, 2015

4321 - { floor ( 4321 / 321 ) X 321 } = 4321 - 13 X 321 = 4321 - 4173 = 148

Kannan Ravinther
Aug 2, 2013

4321 can be divided by 321 with a remainder of 148. Here goes the working ,321 multiply 13 , you will get 4173. So,4321-4173 is 148 ,that's the remainder.

Sushmita Nad
Jul 31, 2013

4321/321=13.46105

321*13=4173

4321-4173=148

4321/321=13.46105

321*13=4173

4321-4173=148

Puneet Kumar Rajan - 7 years, 10 months ago

very gooooooooooooood

Mojtaba davi - 7 years, 10 months ago
Anubhav Mishra
Jul 30, 2013

4321=321*13+148

Arinilhaq Nafisah
Jul 30, 2013

You have to divide the number by 321 to produce 4321 integers. And it can only be divided by 13, with the remaining 148.

4321/321 =1+4000/321 =1+(321*10+790)/321 =11+790/321 =11+(642+148)/321 =11+2+148/321 so the remainder is 148

Nael Cassio
Jul 29, 2013

4321 = 321 * 13 + 148

Mojtaba Davi
Jul 29, 2013

4321=13*321+148

[4321] / [321] = 13{QUOTIENT} & 148{REMAINDER}

4321/321=13+138/321

138 is the remainder

148 148 is the remainder

Ayon Pal - 7 years, 10 months ago

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sorry.. its just a typographical error..

Jeffer Dave Cagubcob - 7 years, 10 months ago
Victor Carnaúba
Jul 28, 2013

just divide 4321/321 then you reach the awnser

4321/321 = 14 148/321

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