Euclid’s division lemma states that for any two positive integers a and b, there exist integers q and r such that a = bq + r, where 0 ≤ r < />



In this case, a = 5 and b = 8.



To find the values of q and r, we need to divide a by b using Euclid’s division lemma.

Step 1:
Divide a by b: 5 ÷ 8 = 0 with a remainder of 5.

Step 2:
Since the remainder (5) is greater than or equal to 0 and less than the divisor (8), we can conclude that 0 ≤ r < b="" is="" />

Therefore, the values of q and r are q = 0 and r = 5.



Euclid’s division lemma is a fundamental concept in number theory. It states that any positive integer a can be expressed as the product of another positive integer b and a quotient q, plus a remainder r.

In this case, we are given a = 5 and b = 8. We need to find the values of q and r.

When we divide a by b using Euclid’s division lemma, we obtain a quotient q and a remainder r.

The quotient q represents the number of times b can be subtracted from a without resulting in a negative number. In this case, since a is smaller than b, q is 0.

The remainder r represents the left-over part after subtracting the multiples of b from a. In this case, the remainder is 5.

We can verify that the values of q and r satisfy the condition 0 ≤ r < b.="" since="" 0="" is="" less="" than="" 8="" and="" 5="" is="" also="" less="" than="" 8,="" the="" condition="" is="" />

Therefore, the values of q and r for a = 5 and b = 8 are q = 0 and r = 5.