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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 397 · 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. 1.9105 ÷ 8 =
  2. 2.532804 ÷ 998 =
  3. 3.313244 ÷ 988 =
  4. 4.657224 ÷ 989 =
  5. 5.622402 ÷ 988 =
  6. 6.24259 ÷ 98 =
  7. 7.984809 ÷ 989 =
  8. 8.241804 ÷ 998 =
  9. 9.87765 ÷ 98 =
  10. 10.68702 ÷ 89 =
  11. 11.501 ÷ 8 =
  12. 12.335302 ÷ 988 =
  13. 13.187888 ÷ 897 =
  14. 14.15585 ÷ 96 =
  15. 15.899792 ÷ 998 =
  16. 16.73258 ÷ 98 =
  17. 17.65182 ÷ 89 =
  18. 18.94760 ÷ 88 =
  19. 19.759693 ÷ 988 =
  20. 20.36027 ÷ 89 =
  21. 21.615271 ÷ 997 =
  22. 22.63458 ÷ 96 =
  23. 23.405231 ÷ 897 =
  24. 24.164641 ÷ 988 =
  25. 25.707803 ÷ 989 =
  26. 26.3675 ÷ 8 =
  27. 27.5170 ÷ 8 =
  28. 28.874191 ÷ 989 =
  29. 29.28267 ÷ 96 =
  30. 30.56298 ÷ 88 =
  31. 31.752023 ÷ 988 =
  32. 32.631510 ÷ 997 =
  33. 33.58441 ÷ 89 =
  34. 34.68307 ÷ 96 =
  35. 35.16860 ÷ 97 =
  36. 36.46920 ÷ 96 =
  37. 37.52487 ÷ 98 =
  38. 38.93334 ÷ 96 =
  39. 39.781034 ÷ 998 =
  40. 40.721704 ÷ 998 =

Answer key

  1. 1138 rem 1
  2. 533 rem 870
  3. 317 rem 48
  4. 664 rem 528
  5. 629 rem 950
  6. 247 rem 53
  7. 995 rem 754
  8. 242 rem 288
  9. 895 rem 55
  10. 771 rem 83
  11. 62 rem 5
  12. 339 rem 370
  13. 209 rem 415
  14. 162 rem 33
  15. 901 rem 594
  16. 747 rem 52
  17. 732 rem 34
  18. 1076 rem 72
  19. 768 rem 909
  20. 404 rem 71
  21. 617 rem 122
  22. 661 rem 2
  23. 451 rem 684
  24. 166 rem 633
  25. 715 rem 668
  26. 459 rem 3
  27. 646 rem 2
  28. 883 rem 904
  29. 294 rem 43
  30. 639 rem 66
  31. 761 rem 155
  32. 633 rem 409
  33. 656 rem 57
  34. 711 rem 51
  35. 173 rem 79
  36. 488 rem 72
  37. 535 rem 57
  38. 972 rem 22
  39. 782 rem 598
  40. 723 rem 150

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