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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 159 · 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. 1.282714 ÷ 897 =
  2. 2.159383 ÷ 897 =
  3. 3.890351 ÷ 998 =
  4. 4.63079 ÷ 98 =
  5. 5.94138 ÷ 89 =
  6. 6.275993 ÷ 988 =
  7. 7.4037 ÷ 8 =
  8. 8.24493 ÷ 89 =
  9. 9.94310 ÷ 97 =
  10. 10.959175 ÷ 997 =
  11. 11.29175 ÷ 97 =
  12. 12.75974 ÷ 989 =
  13. 13.136152 ÷ 998 =
  14. 14.53727 ÷ 98 =
  15. 15.302382 ÷ 988 =
  16. 16.82267 ÷ 96 =
  17. 17.26389 ÷ 98 =
  18. 18.360152 ÷ 989 =
  19. 19.31477 ÷ 97 =
  20. 20.76491 ÷ 97 =
  21. 21.683247 ÷ 989 =
  22. 22.8935 ÷ 97 =
  23. 23.642491 ÷ 988 =
  24. 24.19406 ÷ 88 =
  25. 25.282912 ÷ 998 =
  26. 26.10949 ÷ 97 =
  27. 27.18788 ÷ 98 =
  28. 28.7437 ÷ 8 =
  29. 29.642585 ÷ 997 =
  30. 30.83964 ÷ 989 =
  31. 31.91025 ÷ 88 =
  32. 32.66395 ÷ 97 =
  33. 33.36174 ÷ 89 =
  34. 34.42189 ÷ 96 =
  35. 35.49141 ÷ 96 =
  36. 36.77942 ÷ 89 =
  37. 37.92574 ÷ 89 =
  38. 38.55619 ÷ 98 =
  39. 39.63932 ÷ 97 =
  40. 40.809883 ÷ 997 =

Answer key

  1. 315 rem 159
  2. 177 rem 614
  3. 892 rem 135
  4. 643 rem 65
  5. 1057 rem 65
  6. 279 rem 341
  7. 504 rem 5
  8. 275 rem 18
  9. 972 rem 26
  10. 962 rem 61
  11. 300 rem 75
  12. 76 rem 810
  13. 136 rem 424
  14. 548 rem 23
  15. 306 rem 54
  16. 856 rem 91
  17. 269 rem 27
  18. 364 rem 156
  19. 324 rem 49
  20. 788 rem 55
  21. 690 rem 837
  22. 92 rem 11
  23. 650 rem 291
  24. 220 rem 46
  25. 283 rem 478
  26. 112 rem 85
  27. 191 rem 70
  28. 929 rem 5
  29. 644 rem 517
  30. 84 rem 888
  31. 1034 rem 33
  32. 684 rem 47
  33. 406 rem 40
  34. 439 rem 45
  35. 511 rem 85
  36. 875 rem 67
  37. 1040 rem 14
  38. 567 rem 53
  39. 659 rem 9
  40. 812 rem 319

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