Question

find the quotient and remainder without actual division 5164÷1000

Answer 1

$5164 \div 1000 \\ \\ = 5.164$

Answer 2

Answer:

5164÷1000  ⇒ the quotient = 5

                          the remainder = 41

Step-by-step explanation:

• We have to solve the division 5164÷1000
• We can't solve it by actual division process, so we will solve it by factorizing the numbers.
•  5164 can be expressed as,

           5164 = 2 × 2582

                    = 2 × 2 × 1291

• 1000 can be expressed as,

           1000 = 2 × 500

                    = 2 × 2 × 250

• 5164÷1000 = $\frac{2*2*1291}{2*2*250}$ = $\frac{1291}{250}$
• If we multiply 250 by 5, 250 × 5 = 1250 and  

                                                (1291 - 1250) = 41

  ∴ By doing the division we get, the quotient = 5

                                                 and remainder = 41