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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 235 · 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. 1.16964 ÷ 89 =
  2. 2.25838 ÷ 98 =
  3. 3.8676 ÷ 8 =
  4. 4.823 ÷ 8 =
  5. 5.9750 ÷ 8 =
  6. 6.5624 ÷ 89 =
  7. 7.4814 ÷ 96 =
  8. 8.911847 ÷ 897 =
  9. 9.181649 ÷ 997 =
  10. 10.82071 ÷ 98 =
  11. 11.9045 ÷ 89 =
  12. 12.647576 ÷ 997 =
  13. 13.610828 ÷ 997 =
  14. 14.601978 ÷ 997 =
  15. 15.8777 ÷ 98 =
  16. 16.499497 ÷ 997 =
  17. 17.53637 ÷ 97 =
  18. 18.76102 ÷ 97 =
  19. 19.471911 ÷ 988 =
  20. 20.7971 ÷ 97 =
  21. 21.22389 ÷ 89 =
  22. 22.1318 ÷ 8 =
  23. 23.880432 ÷ 989 =
  24. 24.91000 ÷ 88 =
  25. 25.4983 ÷ 8 =
  26. 26.97916 ÷ 88 =
  27. 27.626263 ÷ 897 =
  28. 28.884934 ÷ 998 =
  29. 29.41937 ÷ 98 =
  30. 30.998596 ÷ 989 =
  31. 31.32175 ÷ 97 =
  32. 32.214101 ÷ 989 =
  33. 33.5509 ÷ 97 =
  34. 34.286805 ÷ 988 =
  35. 35.22129 ÷ 89 =
  36. 36.810563 ÷ 997 =
  37. 37.22082 ÷ 96 =
  38. 38.1217 ÷ 8 =
  39. 39.94283 ÷ 98 =
  40. 40.20780 ÷ 89 =

Answer key

  1. 190 rem 54
  2. 263 rem 64
  3. 1084 rem 4
  4. 102 rem 7
  5. 1218 rem 6
  6. 63 rem 17
  7. 50 rem 14
  8. 1016 rem 495
  9. 182 rem 195
  10. 837 rem 45
  11. 101 rem 56
  12. 649 rem 523
  13. 612 rem 664
  14. 603 rem 787
  15. 89 rem 55
  16. 501 rem 0
  17. 552 rem 93
  18. 784 rem 54
  19. 477 rem 635
  20. 82 rem 17
  21. 251 rem 50
  22. 164 rem 6
  23. 890 rem 222
  24. 1034 rem 8
  25. 622 rem 7
  26. 1112 rem 60
  27. 698 rem 157
  28. 886 rem 706
  29. 427 rem 91
  30. 1009 rem 695
  31. 331 rem 68
  32. 216 rem 477
  33. 56 rem 77
  34. 290 rem 285
  35. 248 rem 57
  36. 813 rem 2
  37. 230 rem 2
  38. 152 rem 1
  39. 962 rem 7
  40. 233 rem 43

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