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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 913 · 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. 1.805203 ÷ 897 =
  2. 2.17327 ÷ 98 =
  3. 3.98468 ÷ 97 =
  4. 4.49172 ÷ 88 =
  5. 5.56489 ÷ 88 =
  6. 6.2173 ÷ 8 =
  7. 7.949657 ÷ 988 =
  8. 8.519130 ÷ 998 =
  9. 9.95359 ÷ 98 =
  10. 10.10640 ÷ 97 =
  11. 11.74933 ÷ 88 =
  12. 12.638615 ÷ 997 =
  13. 13.13053 ÷ 98 =
  14. 14.9958 ÷ 8 =
  15. 15.425885 ÷ 989 =
  16. 16.66077 ÷ 98 =
  17. 17.282693 ÷ 897 =
  18. 18.835713 ÷ 988 =
  19. 19.45360 ÷ 97 =
  20. 20.840069 ÷ 998 =
  21. 21.56777 ÷ 88 =
  22. 22.534886 ÷ 988 =
  23. 23.6416 ÷ 98 =
  24. 24.423978 ÷ 897 =
  25. 25.5229 ÷ 8 =
  26. 26.80838 ÷ 997 =
  27. 27.70847 ÷ 88 =
  28. 28.217860 ÷ 897 =
  29. 29.794213 ÷ 997 =
  30. 30.967755 ÷ 989 =
  31. 31.5714 ÷ 96 =
  32. 32.119842 ÷ 897 =
  33. 33.508516 ÷ 998 =
  34. 34.7374 ÷ 98 =
  35. 35.17196 ÷ 96 =
  36. 36.59991 ÷ 89 =
  37. 37.17728 ÷ 89 =
  38. 38.82872 ÷ 97 =
  39. 39.91755 ÷ 89 =
  40. 40.9496 ÷ 8 =

Answer key

  1. 897 rem 594
  2. 176 rem 79
  3. 1015 rem 13
  4. 558 rem 68
  5. 641 rem 81
  6. 271 rem 5
  7. 961 rem 189
  8. 520 rem 170
  9. 973 rem 5
  10. 109 rem 67
  11. 851 rem 45
  12. 640 rem 535
  13. 133 rem 19
  14. 1244 rem 6
  15. 430 rem 615
  16. 674 rem 25
  17. 315 rem 138
  18. 845 rem 853
  19. 467 rem 61
  20. 841 rem 751
  21. 645 rem 17
  22. 541 rem 378
  23. 65 rem 46
  24. 472 rem 594
  25. 653 rem 5
  26. 81 rem 81
  27. 805 rem 7
  28. 242 rem 786
  29. 796 rem 601
  30. 978 rem 513
  31. 59 rem 50
  32. 133 rem 541
  33. 509 rem 534
  34. 75 rem 24
  35. 179 rem 12
  36. 674 rem 5
  37. 199 rem 17
  38. 854 rem 34
  39. 1030 rem 85
  40. 1187 rem 0

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