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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 856 · 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. 1.98061 ÷ 88 =
  2. 2.22864 ÷ 989 =
  3. 3.477615 ÷ 997 =
  4. 4.529932 ÷ 989 =
  5. 5.41262 ÷ 88 =
  6. 6.91139 ÷ 88 =
  7. 7.583274 ÷ 998 =
  8. 8.82858 ÷ 88 =
  9. 9.884371 ÷ 988 =
  10. 10.15248 ÷ 97 =
  11. 11.434472 ÷ 897 =
  12. 12.90621 ÷ 97 =
  13. 13.72154 ÷ 96 =
  14. 14.16108 ÷ 97 =
  15. 15.445598 ÷ 997 =
  16. 16.92465 ÷ 96 =
  17. 17.687615 ÷ 988 =
  18. 18.783554 ÷ 988 =
  19. 19.95540 ÷ 88 =
  20. 20.382977 ÷ 998 =
  21. 21.60482 ÷ 97 =
  22. 22.80654 ÷ 89 =
  23. 23.26078 ÷ 97 =
  24. 24.742813 ÷ 989 =
  25. 25.34060 ÷ 98 =
  26. 26.51819 ÷ 96 =
  27. 27.342648 ÷ 989 =
  28. 28.88931 ÷ 96 =
  29. 29.74513 ÷ 89 =
  30. 30.18238 ÷ 96 =
  31. 31.5945 ÷ 88 =
  32. 32.30846 ÷ 96 =
  33. 33.82116 ÷ 89 =
  34. 34.7044 ÷ 8 =
  35. 35.956206 ÷ 988 =
  36. 36.8547 ÷ 8 =
  37. 37.637623 ÷ 988 =
  38. 38.533053 ÷ 897 =
  39. 39.999129 ÷ 998 =
  40. 40.524929 ÷ 998 =

Answer key

  1. 1114 rem 29
  2. 23 rem 117
  3. 479 rem 52
  4. 535 rem 817
  5. 468 rem 78
  6. 1035 rem 59
  7. 584 rem 442
  8. 941 rem 50
  9. 895 rem 111
  10. 157 rem 19
  11. 484 rem 324
  12. 934 rem 23
  13. 751 rem 58
  14. 166 rem 6
  15. 446 rem 936
  16. 963 rem 17
  17. 695 rem 955
  18. 793 rem 70
  19. 1085 rem 60
  20. 383 rem 743
  21. 623 rem 51
  22. 906 rem 20
  23. 268 rem 82
  24. 751 rem 74
  25. 347 rem 54
  26. 539 rem 75
  27. 346 rem 454
  28. 926 rem 35
  29. 837 rem 20
  30. 189 rem 94
  31. 67 rem 49
  32. 321 rem 30
  33. 922 rem 58
  34. 880 rem 4
  35. 967 rem 810
  36. 1068 rem 3
  37. 645 rem 363
  38. 594 rem 235
  39. 1001 rem 131
  40. 525 rem 979

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