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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 983 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.1656 ÷ 8 =
  2. 2.112329 ÷ 989 =
  3. 3.16365 ÷ 89 =
  4. 4.9915 ÷ 8 =
  5. 5.25747 ÷ 96 =
  6. 6.709619 ÷ 989 =
  7. 7.200608 ÷ 897 =
  8. 8.679200 ÷ 988 =
  9. 9.72636 ÷ 897 =
  10. 10.89448 ÷ 97 =
  11. 11.2985 ÷ 8 =
  12. 12.701628 ÷ 989 =
  13. 13.312488 ÷ 998 =
  14. 14.250613 ÷ 998 =
  15. 15.792499 ÷ 988 =
  16. 16.47122 ÷ 97 =
  17. 17.78827 ÷ 897 =
  18. 18.61817 ÷ 98 =
  19. 19.515670 ÷ 998 =
  20. 20.10595 ÷ 89 =
  21. 21.80725 ÷ 89 =
  22. 22.93436 ÷ 98 =
  23. 23.469001 ÷ 989 =
  24. 24.7085 ÷ 8 =
  25. 25.80715 ÷ 96 =
  26. 26.53765 ÷ 989 =
  27. 27.727 ÷ 8 =
  28. 28.24422 ÷ 98 =
  29. 29.437826 ÷ 897 =
  30. 30.24012 ÷ 98 =
  31. 31.79313 ÷ 88 =
  32. 32.37805 ÷ 97 =
  33. 33.10390 ÷ 97 =
  34. 34.22249 ÷ 98 =
  35. 35.88746 ÷ 97 =
  36. 36.77663 ÷ 98 =
  37. 37.898453 ÷ 998 =
  38. 38.42596 ÷ 88 =
  39. 39.96943 ÷ 89 =
  40. 40.31256 ÷ 98 =

Answer key

  1. 207 rem 0
  2. 113 rem 572
  3. 183 rem 78
  4. 1239 rem 3
  5. 268 rem 19
  6. 717 rem 506
  7. 223 rem 577
  8. 687 rem 444
  9. 80 rem 876
  10. 922 rem 14
  11. 373 rem 1
  12. 709 rem 427
  13. 313 rem 114
  14. 251 rem 115
  15. 802 rem 123
  16. 485 rem 77
  17. 87 rem 788
  18. 630 rem 77
  19. 516 rem 702
  20. 119 rem 4
  21. 907 rem 2
  22. 953 rem 42
  23. 474 rem 215
  24. 885 rem 5
  25. 840 rem 75
  26. 54 rem 359
  27. 90 rem 7
  28. 249 rem 20
  29. 488 rem 90
  30. 245 rem 2
  31. 901 rem 25
  32. 389 rem 72
  33. 107 rem 11
  34. 227 rem 3
  35. 914 rem 88
  36. 792 rem 47
  37. 900 rem 253
  38. 484 rem 4
  39. 1089 rem 22
  40. 318 rem 92

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