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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 214 · 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. 1.1635 ÷ 8 =
  2. 2.41429 ÷ 88 =
  3. 3.21347 ÷ 98 =
  4. 4.83685 ÷ 96 =
  5. 5.70796 ÷ 989 =
  6. 6.4944 ÷ 8 =
  7. 7.16467 ÷ 998 =
  8. 8.317898 ÷ 989 =
  9. 9.27115 ÷ 89 =
  10. 10.189394 ÷ 897 =
  11. 11.59475 ÷ 989 =
  12. 12.66900 ÷ 89 =
  13. 13.39189 ÷ 96 =
  14. 14.18358 ÷ 88 =
  15. 15.26401 ÷ 97 =
  16. 16.14221 ÷ 98 =
  17. 17.9283 ÷ 8 =
  18. 18.4357 ÷ 98 =
  19. 19.22597 ÷ 98 =
  20. 20.15603 ÷ 98 =
  21. 21.1771 ÷ 8 =
  22. 22.84453 ÷ 88 =
  23. 23.506462 ÷ 989 =
  24. 24.58813 ÷ 98 =
  25. 25.26442 ÷ 96 =
  26. 26.527112 ÷ 989 =
  27. 27.28911 ÷ 88 =
  28. 28.837969 ÷ 997 =
  29. 29.10119 ÷ 89 =
  30. 30.587767 ÷ 998 =
  31. 31.372302 ÷ 989 =
  32. 32.7297 ÷ 98 =
  33. 33.389738 ÷ 897 =
  34. 34.626071 ÷ 998 =
  35. 35.4906 ÷ 88 =
  36. 36.9202 ÷ 8 =
  37. 37.55019 ÷ 98 =
  38. 38.36013 ÷ 88 =
  39. 39.66637 ÷ 98 =
  40. 40.623670 ÷ 989 =

Answer key

  1. 204 rem 3
  2. 470 rem 69
  3. 217 rem 81
  4. 871 rem 69
  5. 71 rem 577
  6. 618 rem 0
  7. 16 rem 499
  8. 321 rem 429
  9. 304 rem 59
  10. 211 rem 127
  11. 60 rem 135
  12. 751 rem 61
  13. 408 rem 21
  14. 208 rem 54
  15. 272 rem 17
  16. 145 rem 11
  17. 1160 rem 3
  18. 44 rem 45
  19. 230 rem 57
  20. 159 rem 21
  21. 221 rem 3
  22. 959 rem 61
  23. 512 rem 94
  24. 600 rem 13
  25. 275 rem 42
  26. 532 rem 964
  27. 328 rem 47
  28. 840 rem 489
  29. 113 rem 62
  30. 588 rem 943
  31. 376 rem 438
  32. 74 rem 45
  33. 434 rem 440
  34. 627 rem 325
  35. 55 rem 66
  36. 1150 rem 2
  37. 561 rem 41
  38. 409 rem 21
  39. 679 rem 95
  40. 630 rem 600

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