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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 902 · 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. 1.45419 ÷ 88 =
  2. 2.81999 ÷ 97 =
  3. 3.97086 ÷ 98 =
  4. 4.92404 ÷ 96 =
  5. 5.733710 ÷ 989 =
  6. 6.722831 ÷ 989 =
  7. 7.45405 ÷ 96 =
  8. 8.52872 ÷ 89 =
  9. 9.320968 ÷ 998 =
  10. 10.898046 ÷ 997 =
  11. 11.88089 ÷ 88 =
  12. 12.635611 ÷ 997 =
  13. 13.29293 ÷ 98 =
  14. 14.887222 ÷ 998 =
  15. 15.728357 ÷ 998 =
  16. 16.9371 ÷ 8 =
  17. 17.43338 ÷ 97 =
  18. 18.33227 ÷ 897 =
  19. 19.387118 ÷ 988 =
  20. 20.202324 ÷ 988 =
  21. 21.19078 ÷ 96 =
  22. 22.8734 ÷ 8 =
  23. 23.42308 ÷ 98 =
  24. 24.83783 ÷ 98 =
  25. 25.28484 ÷ 89 =
  26. 26.89164 ÷ 88 =
  27. 27.5548 ÷ 8 =
  28. 28.64887 ÷ 96 =
  29. 29.36977 ÷ 997 =
  30. 30.132787 ÷ 988 =
  31. 31.980707 ÷ 989 =
  32. 32.625727 ÷ 989 =
  33. 33.709711 ÷ 998 =
  34. 34.99367 ÷ 97 =
  35. 35.27347 ÷ 97 =
  36. 36.15276 ÷ 88 =
  37. 37.710636 ÷ 988 =
  38. 38.322918 ÷ 998 =
  39. 39.226176 ÷ 988 =
  40. 40.32206 ÷ 97 =

Answer key

  1. 516 rem 11
  2. 845 rem 34
  3. 990 rem 66
  4. 962 rem 52
  5. 741 rem 861
  6. 730 rem 861
  7. 472 rem 93
  8. 594 rem 6
  9. 321 rem 610
  10. 900 rem 746
  11. 1001 rem 1
  12. 637 rem 522
  13. 298 rem 89
  14. 889 rem 0
  15. 729 rem 815
  16. 1171 rem 3
  17. 446 rem 76
  18. 37 rem 38
  19. 391 rem 810
  20. 204 rem 772
  21. 198 rem 70
  22. 1091 rem 6
  23. 431 rem 70
  24. 854 rem 91
  25. 320 rem 4
  26. 1013 rem 20
  27. 693 rem 4
  28. 675 rem 87
  29. 37 rem 88
  30. 134 rem 395
  31. 991 rem 608
  32. 632 rem 679
  33. 711 rem 133
  34. 1024 rem 39
  35. 281 rem 90
  36. 173 rem 52
  37. 719 rem 264
  38. 323 rem 564
  39. 228 rem 912
  40. 332 rem 2

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