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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 200 · 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. 1.21264 ÷ 89 =
  2. 2.434604 ÷ 897 =
  3. 3.76930 ÷ 89 =
  4. 4.83067 ÷ 97 =
  5. 5.10092 ÷ 97 =
  6. 6.773483 ÷ 897 =
  7. 7.412769 ÷ 897 =
  8. 8.3259 ÷ 8 =
  9. 9.646641 ÷ 897 =
  10. 10.963134 ÷ 997 =
  11. 11.45971 ÷ 98 =
  12. 12.3385 ÷ 89 =
  13. 13.4717 ÷ 8 =
  14. 14.74062 ÷ 96 =
  15. 15.504507 ÷ 998 =
  16. 16.3720 ÷ 8 =
  17. 17.732713 ÷ 998 =
  18. 18.90266 ÷ 989 =
  19. 19.6495 ÷ 8 =
  20. 20.70151 ÷ 97 =
  21. 21.564571 ÷ 897 =
  22. 22.462428 ÷ 897 =
  23. 23.43185 ÷ 997 =
  24. 24.740734 ÷ 997 =
  25. 25.46855 ÷ 98 =
  26. 26.87015 ÷ 98 =
  27. 27.638192 ÷ 997 =
  28. 28.610772 ÷ 897 =
  29. 29.404370 ÷ 998 =
  30. 30.96723 ÷ 98 =
  31. 31.811989 ÷ 998 =
  32. 32.8623 ÷ 88 =
  33. 33.42057 ÷ 97 =
  34. 34.29933 ÷ 89 =
  35. 35.43300 ÷ 98 =
  36. 36.65412 ÷ 998 =
  37. 37.255930 ÷ 897 =
  38. 38.147155 ÷ 997 =
  39. 39.14506 ÷ 97 =
  40. 40.12874 ÷ 97 =

Answer key

  1. 238 rem 82
  2. 484 rem 456
  3. 864 rem 34
  4. 856 rem 35
  5. 104 rem 4
  6. 862 rem 269
  7. 460 rem 149
  8. 407 rem 3
  9. 720 rem 801
  10. 966 rem 32
  11. 469 rem 9
  12. 38 rem 3
  13. 589 rem 5
  14. 771 rem 46
  15. 505 rem 517
  16. 465 rem 0
  17. 734 rem 181
  18. 91 rem 267
  19. 811 rem 7
  20. 723 rem 20
  21. 629 rem 358
  22. 515 rem 473
  23. 43 rem 314
  24. 742 rem 960
  25. 478 rem 11
  26. 887 rem 89
  27. 640 rem 112
  28. 680 rem 812
  29. 405 rem 180
  30. 986 rem 95
  31. 813 rem 615
  32. 97 rem 87
  33. 433 rem 56
  34. 336 rem 29
  35. 441 rem 82
  36. 65 rem 542
  37. 285 rem 285
  38. 147 rem 596
  39. 149 rem 53
  40. 132 rem 70

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