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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 339 · 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. 1.291865 ÷ 897 =
  2. 2.18421 ÷ 97 =
  3. 3.28431 ÷ 98 =
  4. 4.225573 ÷ 998 =
  5. 5.138162 ÷ 989 =
  6. 6.62142 ÷ 97 =
  7. 7.91242 ÷ 96 =
  8. 8.414779 ÷ 989 =
  9. 9.667707 ÷ 997 =
  10. 10.34561 ÷ 988 =
  11. 11.299287 ÷ 998 =
  12. 12.447519 ÷ 998 =
  13. 13.15255 ÷ 89 =
  14. 14.783 ÷ 8 =
  15. 15.65191 ÷ 97 =
  16. 16.532732 ÷ 988 =
  17. 17.657582 ÷ 988 =
  18. 18.805151 ÷ 998 =
  19. 19.91657 ÷ 998 =
  20. 20.54758 ÷ 96 =
  21. 21.18820 ÷ 88 =
  22. 22.28432 ÷ 96 =
  23. 23.71641 ÷ 97 =
  24. 24.77300 ÷ 96 =
  25. 25.21051 ÷ 897 =
  26. 26.213601 ÷ 988 =
  27. 27.778780 ÷ 988 =
  28. 28.735373 ÷ 998 =
  29. 29.62629 ÷ 97 =
  30. 30.718652 ÷ 997 =
  31. 31.41252 ÷ 97 =
  32. 32.404221 ÷ 988 =
  33. 33.47167 ÷ 89 =
  34. 34.90085 ÷ 997 =
  35. 35.4282 ÷ 8 =
  36. 36.992650 ÷ 998 =
  37. 37.524714 ÷ 988 =
  38. 38.683215 ÷ 989 =
  39. 39.13350 ÷ 98 =
  40. 40.6027 ÷ 8 =

Answer key

  1. 325 rem 340
  2. 189 rem 88
  3. 290 rem 11
  4. 226 rem 25
  5. 139 rem 691
  6. 640 rem 62
  7. 950 rem 42
  8. 419 rem 388
  9. 669 rem 714
  10. 34 rem 969
  11. 299 rem 885
  12. 448 rem 415
  13. 171 rem 36
  14. 97 rem 7
  15. 672 rem 7
  16. 539 rem 200
  17. 665 rem 562
  18. 806 rem 763
  19. 91 rem 839
  20. 570 rem 38
  21. 213 rem 76
  22. 296 rem 16
  23. 738 rem 55
  24. 805 rem 20
  25. 23 rem 420
  26. 216 rem 193
  27. 788 rem 236
  28. 736 rem 845
  29. 645 rem 64
  30. 720 rem 812
  31. 425 rem 27
  32. 409 rem 129
  33. 529 rem 86
  34. 90 rem 355
  35. 535 rem 2
  36. 994 rem 638
  37. 531 rem 86
  38. 690 rem 805
  39. 136 rem 22
  40. 753 rem 3

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