2. When 19346 is divided by a number, the quotient is 841 and the remainder is 3 . What is the number? ( 3 mks ).

Question

UpStudy AI · Accepted Answer

To find the number (divisor) when 19,346 is divided by it to give a quotient of 841 and a remainder of 3, you can use the division algorithm:

$$ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} $$

Plugging in the given values:

$$ 19,346 = (841 \times \text{Divisor}) + 3 $$

Subtract 3 from both sides:

$$ 19,343 = 841 \times \text{Divisor} $$

Now, divide both sides by 841 to find the divisor:

$$ \text{Divisor} = \frac{19,343}{841} = 23 $$

**Answer:** 23
The number is 23.

When 19346 is divided by a number, the quotient is 841 and the remainder is 3 . What is the
number? ( 3 mks ).