Final answer:
The quotient of dividing 18,198 by 27 is 674, as 27 times 674 equals 18,198, leaving no remainder.
Step-by-step explanation:
The student has asked to find the quotient of the division of 18,198 by 27. To find the quotient, one would typically use long division. After setting up the long division, it turns out that 27 can be divided into 18,198 exactly 674 times, because 27 times 674 equals 18,198.
To solve this, you would write 18,198 as the dividend and 27 as the divisor. Then you would see how many times 27 can go into 181 (the first three digits of 18,198), which is 6 (since 27 x 6 = 162). You write the 6 above the third digit of 18,198, subtract 162 from 181, and bring down the next digit from the dividend, which is 9, making 198. Now you find how many times 27 can go into 198, which is 7 times exactly since 27 x 7 gives you 189. Subtract 189 from 198, and the result is 9, bringing down the last digit 8 to get 98. Finally, you divide 27 into 98 which is 3 times (since 27 x 3 = 81), subtract 81 from 98 to get 17. Since there are no more digits to bring down, we are left with a remainder of 17. Therefore, the quotient is 673 and the remainder is 17.