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Division repeated subtraction

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The document shows the division of 4848 by 6, 4242 by 7, and 63 by 9 through repeated subtraction. It then asks how many of each number (6, 7, 9) were subtracted and concludes that the numbers subtracted correspond to the number of that digit in the original numbers factorial. It performs this process for dividing 4848 by 6 (8 sixes), 4242 by 7 (6 sevens), and 63 by 9 (7 nines).

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8 6 4848 ÷ 6 = 6 42 48-6 36 42-6 6 30 36-6 6 24 30-6 6 18 24-6 66 12 18-6 6 6-6 0 12-6 6 How many 6’s have been subtracted? That means, there are 8 sixes in 48!
6 7 4242 ÷ 7 = 7 35 42-7 28 35-7 7 21 28-7 7 14 21-7 7 7 14-7 7 0 7-7 How many 7’s have been subtracted? That means, there are 6 sevens in 42!
7 9 63 63 ÷ 9 = 9 54 63-9 45 54-9 9 36 45-9 9 27 36-9 9 18 27-9 99 9 18-99-9 0 How many 9’s have been subtracted? That means, there are 7 nines in 63!

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Division repeated subtraction

  • 1. 8 6 4848 ÷ 6 = 6 42 48-6 36 42-6 6 30 36-6 6 24 30-6 6 18 24-6 66 12 18-6 6 6-6 0 12-6 6 How many 6’s have been subtracted? That means, there are 8 sixes in 48!
  • 2. 6 7 4242 ÷ 7 = 7 35 42-7 28 35-7 7 21 28-7 7 14 21-7 7 7 14-7 7 0 7-7 How many 7’s have been subtracted? That means, there are 6 sevens in 42!
  • 3. 7 9 63 63 ÷ 9 = 9 54 63-9 45 54-9 9 36 45-9 9 27 36-9 9 18 27-9 99 9 18-99-9 0 How many 9’s have been subtracted? That means, there are 7 nines in 63!