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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 77 · 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. 1.28015 ÷ 96 =
  2. 2.531417 ÷ 998 =
  3. 3.544793 ÷ 997 =
  4. 4.46399 ÷ 98 =
  5. 5.4142 ÷ 89 =
  6. 6.963852 ÷ 998 =
  7. 7.531648 ÷ 998 =
  8. 8.915203 ÷ 897 =
  9. 9.75915 ÷ 88 =
  10. 10.956358 ÷ 997 =
  11. 11.29618 ÷ 98 =
  12. 12.15850 ÷ 97 =
  13. 13.78523 ÷ 88 =
  14. 14.23120 ÷ 98 =
  15. 15.265466 ÷ 997 =
  16. 16.4029 ÷ 8 =
  17. 17.89079 ÷ 89 =
  18. 18.7800 ÷ 8 =
  19. 19.94027 ÷ 96 =
  20. 20.89201 ÷ 96 =
  21. 21.34275 ÷ 98 =
  22. 22.154709 ÷ 988 =
  23. 23.80569 ÷ 89 =
  24. 24.521018 ÷ 897 =
  25. 25.90797 ÷ 98 =
  26. 26.2337 ÷ 8 =
  27. 27.97886 ÷ 98 =
  28. 28.1979 ÷ 8 =
  29. 29.84912 ÷ 96 =
  30. 30.459357 ÷ 998 =
  31. 31.19629 ÷ 988 =
  32. 32.175457 ÷ 988 =
  33. 33.25531 ÷ 97 =
  34. 34.14055 ÷ 989 =
  35. 35.28670 ÷ 88 =
  36. 36.92569 ÷ 988 =
  37. 37.161322 ÷ 989 =
  38. 38.233099 ÷ 897 =
  39. 39.55113 ÷ 98 =
  40. 40.870244 ÷ 998 =

Answer key

  1. 291 rem 79
  2. 532 rem 481
  3. 546 rem 431
  4. 473 rem 45
  5. 46 rem 48
  6. 965 rem 782
  7. 532 rem 712
  8. 1020 rem 263
  9. 862 rem 59
  10. 959 rem 235
  11. 302 rem 22
  12. 163 rem 39
  13. 892 rem 27
  14. 235 rem 90
  15. 266 rem 264
  16. 503 rem 5
  17. 1000 rem 79
  18. 975 rem 0
  19. 979 rem 43
  20. 929 rem 17
  21. 349 rem 73
  22. 156 rem 581
  23. 905 rem 24
  24. 580 rem 758
  25. 926 rem 49
  26. 292 rem 1
  27. 998 rem 82
  28. 247 rem 3
  29. 884 rem 48
  30. 460 rem 277
  31. 19 rem 857
  32. 177 rem 581
  33. 263 rem 20
  34. 14 rem 209
  35. 325 rem 70
  36. 93 rem 685
  37. 163 rem 115
  38. 259 rem 776
  39. 562 rem 37
  40. 871 rem 986

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