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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 435 · 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. 1.290859 ÷ 997 =
  2. 2.615275 ÷ 998 =
  3. 3.359772 ÷ 989 =
  4. 4.45399 ÷ 96 =
  5. 5.41537 ÷ 89 =
  6. 6.73784 ÷ 98 =
  7. 7.624759 ÷ 988 =
  8. 8.151644 ÷ 989 =
  9. 9.62352 ÷ 98 =
  10. 10.46590 ÷ 98 =
  11. 11.699436 ÷ 998 =
  12. 12.364119 ÷ 897 =
  13. 13.707459 ÷ 897 =
  14. 14.80533 ÷ 988 =
  15. 15.29654 ÷ 98 =
  16. 16.42902 ÷ 98 =
  17. 17.88701 ÷ 98 =
  18. 18.443580 ÷ 997 =
  19. 19.18592 ÷ 98 =
  20. 20.96697 ÷ 98 =
  21. 21.70071 ÷ 96 =
  22. 22.5985 ÷ 98 =
  23. 23.271012 ÷ 989 =
  24. 24.149392 ÷ 988 =
  25. 25.54039 ÷ 88 =
  26. 26.47429 ÷ 98 =
  27. 27.83869 ÷ 88 =
  28. 28.72588 ÷ 97 =
  29. 29.555844 ÷ 897 =
  30. 30.585083 ÷ 988 =
  31. 31.49535 ÷ 897 =
  32. 32.54404 ÷ 96 =
  33. 33.15765 ÷ 97 =
  34. 34.3987 ÷ 8 =
  35. 35.596091 ÷ 989 =
  36. 36.69399 ÷ 96 =
  37. 37.889086 ÷ 989 =
  38. 38.205106 ÷ 997 =
  39. 39.15607 ÷ 89 =
  40. 40.695 ÷ 8 =

Answer key

  1. 291 rem 732
  2. 616 rem 507
  3. 363 rem 765
  4. 472 rem 87
  5. 466 rem 63
  6. 752 rem 88
  7. 632 rem 343
  8. 153 rem 327
  9. 636 rem 24
  10. 475 rem 40
  11. 700 rem 836
  12. 405 rem 834
  13. 788 rem 623
  14. 81 rem 505
  15. 302 rem 58
  16. 437 rem 76
  17. 905 rem 11
  18. 444 rem 912
  19. 189 rem 70
  20. 986 rem 69
  21. 729 rem 87
  22. 61 rem 7
  23. 274 rem 26
  24. 151 rem 204
  25. 614 rem 7
  26. 483 rem 95
  27. 953 rem 5
  28. 748 rem 32
  29. 619 rem 601
  30. 592 rem 187
  31. 55 rem 200
  32. 566 rem 68
  33. 162 rem 51
  34. 498 rem 3
  35. 602 rem 713
  36. 722 rem 87
  37. 898 rem 964
  38. 205 rem 721
  39. 175 rem 32
  40. 86 rem 7

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