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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 664 · 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. 1.854355 ÷ 988 =
  2. 2.739489 ÷ 997 =
  3. 3.92675 ÷ 88 =
  4. 4.671281 ÷ 897 =
  5. 5.396759 ÷ 988 =
  6. 6.2411 ÷ 8 =
  7. 7.2619 ÷ 98 =
  8. 8.487528 ÷ 989 =
  9. 9.639667 ÷ 997 =
  10. 10.19705 ÷ 98 =
  11. 11.705543 ÷ 998 =
  12. 12.66805 ÷ 97 =
  13. 13.726230 ÷ 988 =
  14. 14.76440 ÷ 96 =
  15. 15.41549 ÷ 96 =
  16. 16.493628 ÷ 998 =
  17. 17.72736 ÷ 98 =
  18. 18.9217 ÷ 8 =
  19. 19.28017 ÷ 988 =
  20. 20.57480 ÷ 96 =
  21. 21.682698 ÷ 989 =
  22. 22.9882 ÷ 96 =
  23. 23.536868 ÷ 897 =
  24. 24.47777 ÷ 96 =
  25. 25.49152 ÷ 98 =
  26. 26.16571 ÷ 97 =
  27. 27.25762 ÷ 88 =
  28. 28.87901 ÷ 89 =
  29. 29.53675 ÷ 97 =
  30. 30.26060 ÷ 98 =
  31. 31.330730 ÷ 897 =
  32. 32.98493 ÷ 89 =
  33. 33.17752 ÷ 97 =
  34. 34.82122 ÷ 97 =
  35. 35.753516 ÷ 997 =
  36. 36.955465 ÷ 989 =
  37. 37.27065 ÷ 88 =
  38. 38.468338 ÷ 998 =
  39. 39.900755 ÷ 988 =
  40. 40.86143 ÷ 96 =

Answer key

  1. 864 rem 723
  2. 741 rem 712
  3. 1053 rem 11
  4. 748 rem 325
  5. 401 rem 571
  6. 301 rem 3
  7. 26 rem 71
  8. 492 rem 940
  9. 641 rem 590
  10. 201 rem 7
  11. 706 rem 955
  12. 688 rem 69
  13. 735 rem 50
  14. 796 rem 24
  15. 432 rem 77
  16. 494 rem 616
  17. 742 rem 20
  18. 1152 rem 1
  19. 28 rem 353
  20. 598 rem 72
  21. 690 rem 288
  22. 102 rem 90
  23. 598 rem 462
  24. 497 rem 65
  25. 501 rem 54
  26. 170 rem 81
  27. 292 rem 66
  28. 987 rem 58
  29. 553 rem 34
  30. 265 rem 90
  31. 368 rem 634
  32. 1106 rem 59
  33. 183 rem 1
  34. 846 rem 60
  35. 755 rem 781
  36. 966 rem 91
  37. 307 rem 49
  38. 469 rem 276
  39. 911 rem 687
  40. 897 rem 31

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