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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 35 · 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. 1.35348 ÷ 97 =
  2. 2.1536 ÷ 8 =
  3. 3.95758 ÷ 97 =
  4. 4.65667 ÷ 98 =
  5. 5.9641 ÷ 96 =
  6. 6.197824 ÷ 988 =
  7. 7.247172 ÷ 998 =
  8. 8.83430 ÷ 89 =
  9. 9.70149 ÷ 98 =
  10. 10.1063 ÷ 88 =
  11. 11.8082 ÷ 97 =
  12. 12.260056 ÷ 998 =
  13. 13.44503 ÷ 96 =
  14. 14.14019 ÷ 96 =
  15. 15.465351 ÷ 988 =
  16. 16.21377 ÷ 98 =
  17. 17.93433 ÷ 89 =
  18. 18.938564 ÷ 989 =
  19. 19.624485 ÷ 988 =
  20. 20.918580 ÷ 897 =
  21. 21.552976 ÷ 998 =
  22. 22.78442 ÷ 998 =
  23. 23.98487 ÷ 96 =
  24. 24.19277 ÷ 89 =
  25. 25.25194 ÷ 98 =
  26. 26.81468 ÷ 98 =
  27. 27.53733 ÷ 88 =
  28. 28.235140 ÷ 988 =
  29. 29.816491 ÷ 988 =
  30. 30.463386 ÷ 897 =
  31. 31.60860 ÷ 98 =
  32. 32.5355 ÷ 88 =
  33. 33.170677 ÷ 988 =
  34. 34.659875 ÷ 998 =
  35. 35.409000 ÷ 997 =
  36. 36.761801 ÷ 997 =
  37. 37.79755 ÷ 96 =
  38. 38.761337 ÷ 897 =
  39. 39.26981 ÷ 88 =
  40. 40.435240 ÷ 988 =

Answer key

  1. 364 rem 40
  2. 192 rem 0
  3. 987 rem 19
  4. 670 rem 7
  5. 100 rem 41
  6. 200 rem 224
  7. 247 rem 666
  8. 937 rem 37
  9. 715 rem 79
  10. 12 rem 7
  11. 83 rem 31
  12. 260 rem 576
  13. 463 rem 55
  14. 146 rem 3
  15. 471 rem 3
  16. 218 rem 13
  17. 1049 rem 72
  18. 949 rem 3
  19. 632 rem 69
  20. 1024 rem 52
  21. 554 rem 84
  22. 78 rem 598
  23. 1025 rem 87
  24. 216 rem 53
  25. 257 rem 8
  26. 831 rem 30
  27. 610 rem 53
  28. 237 rem 984
  29. 826 rem 403
  30. 516 rem 534
  31. 621 rem 2
  32. 60 rem 75
  33. 172 rem 741
  34. 661 rem 197
  35. 410 rem 230
  36. 764 rem 93
  37. 830 rem 75
  38. 848 rem 681
  39. 306 rem 53
  40. 440 rem 520

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