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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 450 · 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. 1.213907 ÷ 989 =
  2. 2.9970 ÷ 8 =
  3. 3.12584 ÷ 88 =
  4. 4.647075 ÷ 897 =
  5. 5.389544 ÷ 998 =
  6. 6.540168 ÷ 897 =
  7. 7.74992 ÷ 96 =
  8. 8.26341 ÷ 97 =
  9. 9.6766 ÷ 8 =
  10. 10.140292 ÷ 989 =
  11. 11.8941 ÷ 97 =
  12. 12.38585 ÷ 97 =
  13. 13.917 ÷ 8 =
  14. 14.77424 ÷ 988 =
  15. 15.163633 ÷ 997 =
  16. 16.422248 ÷ 998 =
  17. 17.89792 ÷ 98 =
  18. 18.897167 ÷ 997 =
  19. 19.11251 ÷ 98 =
  20. 20.810294 ÷ 998 =
  21. 21.30727 ÷ 98 =
  22. 22.34856 ÷ 97 =
  23. 23.34498 ÷ 98 =
  24. 24.298173 ÷ 998 =
  25. 25.12840 ÷ 89 =
  26. 26.98016 ÷ 989 =
  27. 27.92896 ÷ 98 =
  28. 28.76683 ÷ 96 =
  29. 29.56889 ÷ 97 =
  30. 30.13681 ÷ 98 =
  31. 31.860081 ÷ 997 =
  32. 32.22985 ÷ 989 =
  33. 33.70876 ÷ 97 =
  34. 34.36700 ÷ 88 =
  35. 35.2064 ÷ 8 =
  36. 36.828194 ÷ 998 =
  37. 37.25439 ÷ 97 =
  38. 38.306 ÷ 8 =
  39. 39.56335 ÷ 98 =
  40. 40.95156 ÷ 98 =

Answer key

  1. 216 rem 283
  2. 1246 rem 2
  3. 143 rem 0
  4. 721 rem 338
  5. 390 rem 324
  6. 602 rem 174
  7. 781 rem 16
  8. 271 rem 54
  9. 845 rem 6
  10. 141 rem 843
  11. 92 rem 17
  12. 397 rem 76
  13. 114 rem 5
  14. 78 rem 360
  15. 164 rem 125
  16. 423 rem 94
  17. 916 rem 24
  18. 899 rem 864
  19. 114 rem 79
  20. 811 rem 916
  21. 313 rem 53
  22. 359 rem 33
  23. 352 rem 2
  24. 298 rem 769
  25. 144 rem 24
  26. 99 rem 105
  27. 947 rem 90
  28. 798 rem 75
  29. 586 rem 47
  30. 139 rem 59
  31. 862 rem 667
  32. 23 rem 238
  33. 730 rem 66
  34. 417 rem 4
  35. 258 rem 0
  36. 829 rem 852
  37. 262 rem 25
  38. 38 rem 2
  39. 574 rem 83
  40. 970 rem 96

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