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What is the  quotient when 24514 divided by 113A.     217B.     216C.     215D.     NONE OF THESE

Question

What is the quotient when 24514 divided by 113

A. 217
B. 216
C. 215
D. NONE OF THESE

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Solution

To find the quotient when 24514 is divided by 113, we need to perform the division.

Step 1: Divide the first digit of the dividend (2) by the divisor (1). The result is 2.

Step 2: Multiply the quotient from step 1 (2) by the divisor (113). The result is 226.

Step 3: Subtract the result from step 2 (226) from the first two digits of the dividend (24). The result is 14.

Step 4: Bring down the next digit of the dividend (5) to the remainder (14). The new number is 145.

Step 5: Divide the new number (145) by the divisor (113). The result is 1.

Step 6: Multiply the quotient from step 5 (1) by the divisor (113). The result is 113.

Step 7: Subtract the result from step 6 (113) from the new number (145). The result is 32.

Step 8: Bring down the next digit of the dividend (1) to the remainder (32). The new number is 321.

Step 9: Divide the new number (321) by the divisor (113). The result is 2.

Step 10: Multiply the quotient from step 9 (2) by the divisor (113). The result is 226.

Step 11: Subtract the result from step 10 (226) from the new number (321). The result is 95.

Step 12: Bring down the next digit of the dividend (4) to the remainder (95). The new number is 954.

Step 13: Divide the new number (954) by the divisor (113). The result is 8.

Step 14: Multiply the quotient from step 13 (8) by the divisor (113). The result is 904.

Step 15: Subtract the result from step 14 (904) from the new number (954). The result is 50.

Step 16: Bring down the next digit of the dividend (1) to the remainder (50). The new number is 501.

Step 17: Divide the new number (501) by the divisor (113). The result is 4.

Step 18: Multiply the quotient from step 17 (4) by the divisor (113). The result is 452.

Step 19: Subtract the result from step 18 (452) from the new number (501). The result is 49.

Step 20: Bring down the next digit of the dividend (4) to the remainder (49). The new number is 494.

Step 21: Divide the new number (494) by the divisor (113). The result is 4.

Step 22: Multiply the quotient from step 21 (4) by the divisor (113). The result is 452.

Step 23: Subtract the result from step 22 (452) from the new number (494). The result is 42.

Step 24: Bring down the next digit of the dividend (1) to the remainder (42). The new number is 421.

Step 25: Divide the new number (421) by the divisor (113). The result is 3.

Step 26: Multiply the quotient from step 25 (3) by the divisor (113). The result is 339.

Step 27: Subtract the result from step 26 (339) from the new number (421). The result is 82.

Step 28: Bring down the next digit of the dividend (4) to the remainder (82). The new number is 824.

Step 29: Divide the new number (824) by the divisor (113). The result is 7.

Step 30: Multiply the quotient from step 29 (7) by the divisor (113). The result is 791.

Step 31: Subtract the result from step 30 (791) from the new number (824). The result is 33.

Step 32: Bring down the next digit of the dividend (NONE OF THESE) to the remainder (33). Since there are no more digits, we have reached the end of the division.

Therefore, the quotient when 24514 is divided by 113 is 217.

This problem has been solved

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