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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 676 · 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. 1.967966 ÷ 989 =
  2. 2.33578 ÷ 96 =
  3. 3.58428 ÷ 98 =
  4. 4.75982 ÷ 96 =
  5. 5.67819 ÷ 89 =
  6. 6.9479 ÷ 89 =
  7. 7.92672 ÷ 88 =
  8. 8.36843 ÷ 96 =
  9. 9.94919 ÷ 98 =
  10. 10.66765 ÷ 97 =
  11. 11.4796 ÷ 96 =
  12. 12.451892 ÷ 897 =
  13. 13.2059 ÷ 8 =
  14. 14.132746 ÷ 988 =
  15. 15.10346 ÷ 96 =
  16. 16.3018 ÷ 97 =
  17. 17.2297 ÷ 89 =
  18. 18.11122 ÷ 96 =
  19. 19.460708 ÷ 997 =
  20. 20.400995 ÷ 988 =
  21. 21.647947 ÷ 897 =
  22. 22.68634 ÷ 97 =
  23. 23.5675 ÷ 8 =
  24. 24.229753 ÷ 997 =
  25. 25.589971 ÷ 988 =
  26. 26.604024 ÷ 988 =
  27. 27.64474 ÷ 96 =
  28. 28.39953 ÷ 97 =
  29. 29.3707 ÷ 96 =
  30. 30.834119 ÷ 988 =
  31. 31.795228 ÷ 998 =
  32. 32.49690 ÷ 88 =
  33. 33.462485 ÷ 988 =
  34. 34.290645 ÷ 988 =
  35. 35.768854 ÷ 897 =
  36. 36.99885 ÷ 98 =
  37. 37.26173 ÷ 89 =
  38. 38.437465 ÷ 997 =
  39. 39.26927 ÷ 97 =
  40. 40.91873 ÷ 98 =

Answer key

  1. 978 rem 724
  2. 349 rem 74
  3. 596 rem 20
  4. 791 rem 46
  5. 762 rem 1
  6. 106 rem 45
  7. 1053 rem 8
  8. 383 rem 75
  9. 968 rem 55
  10. 688 rem 29
  11. 49 rem 92
  12. 503 rem 701
  13. 257 rem 3
  14. 134 rem 354
  15. 107 rem 74
  16. 31 rem 11
  17. 25 rem 72
  18. 115 rem 82
  19. 462 rem 94
  20. 405 rem 855
  21. 722 rem 313
  22. 707 rem 55
  23. 709 rem 3
  24. 230 rem 443
  25. 597 rem 135
  26. 611 rem 356
  27. 671 rem 58
  28. 411 rem 86
  29. 38 rem 59
  30. 844 rem 247
  31. 796 rem 820
  32. 564 rem 58
  33. 468 rem 101
  34. 294 rem 173
  35. 857 rem 125
  36. 1019 rem 23
  37. 294 rem 7
  38. 438 rem 779
  39. 277 rem 58
  40. 937 rem 47

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