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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 289 · 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. 1.24182 ÷ 96 =
  2. 2.444689 ÷ 897 =
  3. 3.9463 ÷ 88 =
  4. 4.8306 ÷ 8 =
  5. 5.997357 ÷ 998 =
  6. 6.919736 ÷ 989 =
  7. 7.502193 ÷ 988 =
  8. 8.13146 ÷ 96 =
  9. 9.76701 ÷ 88 =
  10. 10.87021 ÷ 988 =
  11. 11.293370 ÷ 897 =
  12. 12.715310 ÷ 989 =
  13. 13.93807 ÷ 88 =
  14. 14.238057 ÷ 897 =
  15. 15.666803 ÷ 998 =
  16. 16.705535 ÷ 897 =
  17. 17.75580 ÷ 97 =
  18. 18.267219 ÷ 897 =
  19. 19.88779 ÷ 89 =
  20. 20.15105 ÷ 89 =
  21. 21.38743 ÷ 89 =
  22. 22.272530 ÷ 897 =
  23. 23.26021 ÷ 96 =
  24. 24.726456 ÷ 989 =
  25. 25.8361 ÷ 8 =
  26. 26.6600 ÷ 89 =
  27. 27.25187 ÷ 98 =
  28. 28.200485 ÷ 998 =
  29. 29.568156 ÷ 988 =
  30. 30.73438 ÷ 98 =
  31. 31.95559 ÷ 88 =
  32. 32.118793 ÷ 998 =
  33. 33.33632 ÷ 89 =
  34. 34.31389 ÷ 97 =
  35. 35.47444 ÷ 897 =
  36. 36.95181 ÷ 96 =
  37. 37.31351 ÷ 98 =
  38. 38.775703 ÷ 897 =
  39. 39.314306 ÷ 998 =
  40. 40.93821 ÷ 97 =

Answer key

  1. 251 rem 86
  2. 495 rem 674
  3. 107 rem 47
  4. 1038 rem 2
  5. 999 rem 355
  6. 929 rem 955
  7. 508 rem 289
  8. 136 rem 90
  9. 871 rem 53
  10. 88 rem 77
  11. 327 rem 51
  12. 723 rem 263
  13. 1065 rem 87
  14. 265 rem 352
  15. 668 rem 139
  16. 786 rem 493
  17. 779 rem 17
  18. 297 rem 810
  19. 997 rem 46
  20. 169 rem 64
  21. 435 rem 28
  22. 303 rem 739
  23. 271 rem 5
  24. 734 rem 530
  25. 1045 rem 1
  26. 74 rem 14
  27. 257 rem 1
  28. 200 rem 885
  29. 575 rem 56
  30. 749 rem 36
  31. 1085 rem 79
  32. 119 rem 31
  33. 377 rem 79
  34. 323 rem 58
  35. 52 rem 800
  36. 991 rem 45
  37. 319 rem 89
  38. 864 rem 695
  39. 314 rem 934
  40. 967 rem 22

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