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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 908 · 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. 1.717732 ÷ 997 =
  2. 2.30950 ÷ 98 =
  3. 3.567855 ÷ 897 =
  4. 4.498808 ÷ 998 =
  5. 5.3100 ÷ 89 =
  6. 6.11105 ÷ 96 =
  7. 7.89401 ÷ 88 =
  8. 8.86323 ÷ 89 =
  9. 9.452378 ÷ 998 =
  10. 10.431005 ÷ 989 =
  11. 11.156709 ÷ 989 =
  12. 12.599949 ÷ 989 =
  13. 13.112608 ÷ 988 =
  14. 14.685145 ÷ 897 =
  15. 15.81795 ÷ 98 =
  16. 16.552501 ÷ 897 =
  17. 17.89126 ÷ 88 =
  18. 18.660568 ÷ 997 =
  19. 19.42327 ÷ 98 =
  20. 20.19105 ÷ 98 =
  21. 21.282796 ÷ 998 =
  22. 22.129080 ÷ 997 =
  23. 23.443580 ÷ 897 =
  24. 24.61972 ÷ 98 =
  25. 25.293607 ÷ 989 =
  26. 26.71386 ÷ 89 =
  27. 27.58725 ÷ 89 =
  28. 28.61038 ÷ 96 =
  29. 29.72648 ÷ 89 =
  30. 30.813502 ÷ 989 =
  31. 31.5849 ÷ 8 =
  32. 32.669170 ÷ 989 =
  33. 33.3942 ÷ 8 =
  34. 34.41680 ÷ 96 =
  35. 35.2762 ÷ 8 =
  36. 36.663313 ÷ 998 =
  37. 37.55999 ÷ 98 =
  38. 38.99989 ÷ 89 =
  39. 39.1382 ÷ 8 =
  40. 40.8787 ÷ 8 =

Answer key

  1. 719 rem 889
  2. 315 rem 80
  3. 633 rem 54
  4. 499 rem 806
  5. 34 rem 74
  6. 115 rem 65
  7. 1015 rem 81
  8. 969 rem 82
  9. 453 rem 284
  10. 435 rem 790
  11. 158 rem 447
  12. 606 rem 615
  13. 113 rem 964
  14. 763 rem 734
  15. 834 rem 63
  16. 615 rem 846
  17. 1012 rem 70
  18. 662 rem 554
  19. 431 rem 89
  20. 194 rem 93
  21. 283 rem 362
  22. 129 rem 467
  23. 494 rem 462
  24. 632 rem 36
  25. 296 rem 863
  26. 802 rem 8
  27. 659 rem 74
  28. 635 rem 78
  29. 816 rem 24
  30. 822 rem 544
  31. 731 rem 1
  32. 676 rem 606
  33. 492 rem 6
  34. 434 rem 16
  35. 345 rem 2
  36. 664 rem 641
  37. 571 rem 41
  38. 1123 rem 42
  39. 172 rem 6
  40. 1098 rem 3

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