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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 271 · 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. 1.4617 ÷ 8 =
  2. 2.70354 ÷ 96 =
  3. 3.27743 ÷ 88 =
  4. 4.280804 ÷ 998 =
  5. 5.866904 ÷ 989 =
  6. 6.873585 ÷ 897 =
  7. 7.45300 ÷ 97 =
  8. 8.16160 ÷ 96 =
  9. 9.272333 ÷ 897 =
  10. 10.44941 ÷ 89 =
  11. 11.236113 ÷ 997 =
  12. 12.188136 ÷ 989 =
  13. 13.657259 ÷ 997 =
  14. 14.976191 ÷ 997 =
  15. 15.74840 ÷ 89 =
  16. 16.9088 ÷ 96 =
  17. 17.417796 ÷ 998 =
  18. 18.2657 ÷ 8 =
  19. 19.10184 ÷ 97 =
  20. 20.98334 ÷ 96 =
  21. 21.7072 ÷ 88 =
  22. 22.131834 ÷ 988 =
  23. 23.633918 ÷ 998 =
  24. 24.35247 ÷ 89 =
  25. 25.835949 ÷ 989 =
  26. 26.7688 ÷ 97 =
  27. 27.530977 ÷ 998 =
  28. 28.79409 ÷ 98 =
  29. 29.71489 ÷ 997 =
  30. 30.12604 ÷ 988 =
  31. 31.1781 ÷ 98 =
  32. 32.647518 ÷ 989 =
  33. 33.973 ÷ 8 =
  34. 34.7323 ÷ 89 =
  35. 35.61931 ÷ 89 =
  36. 36.156482 ÷ 989 =
  37. 37.31693 ÷ 88 =
  38. 38.503520 ÷ 998 =
  39. 39.175254 ÷ 998 =
  40. 40.71992 ÷ 96 =

Answer key

  1. 577 rem 1
  2. 732 rem 82
  3. 315 rem 23
  4. 281 rem 366
  5. 876 rem 540
  6. 973 rem 804
  7. 467 rem 1
  8. 168 rem 32
  9. 303 rem 542
  10. 504 rem 85
  11. 236 rem 821
  12. 190 rem 226
  13. 659 rem 236
  14. 979 rem 128
  15. 840 rem 80
  16. 94 rem 64
  17. 418 rem 632
  18. 332 rem 1
  19. 104 rem 96
  20. 1024 rem 30
  21. 80 rem 32
  22. 133 rem 430
  23. 635 rem 188
  24. 396 rem 3
  25. 845 rem 244
  26. 79 rem 25
  27. 532 rem 41
  28. 810 rem 29
  29. 71 rem 702
  30. 12 rem 748
  31. 18 rem 17
  32. 654 rem 712
  33. 121 rem 5
  34. 82 rem 25
  35. 695 rem 76
  36. 158 rem 220
  37. 360 rem 13
  38. 504 rem 528
  39. 175 rem 604
  40. 749 rem 88

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