Use partial quotients to solve 504 divide 14

Perform the following division using partial quotients: 504 ÷ 14:

To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1

Step-by-step explanation:

14|504

280 20 < 20 x 14 = 280

224 < 504 - 280 = 224

14|504

280 20

224

140 10 < 10 x 14 = 140

84 < 224 - 140 = 84

14|504

280 20

224

140 10

84

70 5 < 5 x 14 = 70

14 < 84 - 70 = 14

14|504

280 20

224

140 10

84

70 5

14

14 1 < 1 x 14 = 14

0 < 14 - 14 = 0

Our partial quotients add up as follows:

20 + 10 + 5 + 1 = 36

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