**Division** is finding out how many times one number fits into another. In division, the answer is called the *quotient*, and any leftover part is the *remainder*. The number being divided is called the *dividend*, and the number dividing it is the *divisor*. Division can be shown in a few ways, like with the division sign (÷), a slash (a/b), or a line with the dividend on top and divisor on the bottom. **Example:** In $(37 ÷ 4)$, 37 is the dividend, 4 is the divisor, the quotient is 9, and the remainder is 1. **Important Rules of Division:** - Division is *not commutative*, meaning you can’t reverse the order. For instance, $(18 ÷ 6 ≠ 6 ÷ 18)$. - Division is also *not associative*, so changing the grouping doesn’t work like it does in multiplication. **Steps for Dividing Whole Numbers:** 1. Line up the dividend and divisor. 2. Start dividing from the leftmost digit of the dividend. 3. Write the quotient above the dividend, multiply the quotient by the divisor, and subtract. 4. Bring down the next digit and repeat until you reach the last digit. 5. Any number left after dividing is the remainder. **Example:** To divide 347 by 5: 1. Start with 34 (from 347); $(34 ÷ 5 = 6)$, so write 6 in the quotient. 2. Multiply 6 by 5 to get 30; subtract 30 from 34 to get 4. 3. Bring down the 7 to make 47; $(47 ÷ 5 = 9)$, write 9 in the quotient. 4. Multiply 9 by 5 to get 45; subtract 45 from 47 to get 2. - The quotient is 69 with a remainder of 2. To check, multiply the quotient by the divisor and add the remainder; the result should equal the dividend.