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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 682 · 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. 1.83460 ÷ 98 =
  2. 2.38791 ÷ 96 =
  3. 3.46175 ÷ 96 =
  4. 4.64681 ÷ 89 =
  5. 5.766111 ÷ 989 =
  6. 6.44196 ÷ 97 =
  7. 7.59190 ÷ 97 =
  8. 8.81041 ÷ 98 =
  9. 9.76468 ÷ 98 =
  10. 10.32472 ÷ 89 =
  11. 11.476649 ÷ 989 =
  12. 12.746814 ÷ 989 =
  13. 13.21487 ÷ 98 =
  14. 14.401823 ÷ 989 =
  15. 15.21583 ÷ 89 =
  16. 16.4678 ÷ 98 =
  17. 17.13559 ÷ 989 =
  18. 18.31393 ÷ 96 =
  19. 19.4404 ÷ 8 =
  20. 20.339565 ÷ 897 =
  21. 21.89929 ÷ 97 =
  22. 22.244480 ÷ 989 =
  23. 23.15536 ÷ 96 =
  24. 24.767527 ÷ 997 =
  25. 25.84151 ÷ 998 =
  26. 26.9848 ÷ 98 =
  27. 27.26152 ÷ 89 =
  28. 28.29459 ÷ 89 =
  29. 29.83717 ÷ 96 =
  30. 30.236412 ÷ 989 =
  31. 31.43484 ÷ 98 =
  32. 32.63334 ÷ 97 =
  33. 33.316282 ÷ 989 =
  34. 34.794263 ÷ 997 =
  35. 35.824 ÷ 8 =
  36. 36.37157 ÷ 88 =
  37. 37.22170 ÷ 97 =
  38. 38.71760 ÷ 98 =
  39. 39.70602 ÷ 88 =
  40. 40.33882 ÷ 89 =

Answer key

  1. 851 rem 62
  2. 404 rem 7
  3. 480 rem 95
  4. 726 rem 67
  5. 774 rem 625
  6. 455 rem 61
  7. 610 rem 20
  8. 826 rem 93
  9. 780 rem 28
  10. 364 rem 76
  11. 481 rem 940
  12. 755 rem 119
  13. 219 rem 25
  14. 406 rem 289
  15. 242 rem 45
  16. 47 rem 72
  17. 13 rem 702
  18. 327 rem 1
  19. 550 rem 4
  20. 378 rem 499
  21. 927 rem 10
  22. 247 rem 197
  23. 161 rem 80
  24. 769 rem 834
  25. 84 rem 319
  26. 100 rem 48
  27. 293 rem 75
  28. 331 rem 0
  29. 872 rem 5
  30. 239 rem 41
  31. 443 rem 70
  32. 652 rem 90
  33. 319 rem 791
  34. 796 rem 651
  35. 103 rem 0
  36. 422 rem 21
  37. 228 rem 54
  38. 732 rem 24
  39. 802 rem 26
  40. 380 rem 62

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