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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 97 · 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. 1.928427 ÷ 998 =
  2. 2.316000 ÷ 897 =
  3. 3.60916 ÷ 98 =
  4. 4.83450 ÷ 97 =
  5. 5.107376 ÷ 989 =
  6. 6.931528 ÷ 988 =
  7. 7.808656 ÷ 897 =
  8. 8.3145 ÷ 8 =
  9. 9.147129 ÷ 997 =
  10. 10.4900 ÷ 96 =
  11. 11.809739 ÷ 897 =
  12. 12.29293 ÷ 88 =
  13. 13.2133 ÷ 89 =
  14. 14.46045 ÷ 989 =
  15. 15.444663 ÷ 997 =
  16. 16.11073 ÷ 89 =
  17. 17.10016 ÷ 96 =
  18. 18.8889 ÷ 8 =
  19. 19.64423 ÷ 97 =
  20. 20.95886 ÷ 988 =
  21. 21.593320 ÷ 897 =
  22. 22.9715 ÷ 8 =
  23. 23.167971 ÷ 897 =
  24. 24.934207 ÷ 988 =
  25. 25.795728 ÷ 988 =
  26. 26.967707 ÷ 997 =
  27. 27.13982 ÷ 89 =
  28. 28.9370 ÷ 97 =
  29. 29.905224 ÷ 997 =
  30. 30.49626 ÷ 96 =
  31. 31.569968 ÷ 988 =
  32. 32.35269 ÷ 97 =
  33. 33.32767 ÷ 89 =
  34. 34.33079 ÷ 98 =
  35. 35.930299 ÷ 988 =
  36. 36.88351 ÷ 89 =
  37. 37.703631 ÷ 989 =
  38. 38.108588 ÷ 989 =
  39. 39.237446 ÷ 989 =
  40. 40.7754 ÷ 8 =

Answer key

  1. 930 rem 287
  2. 352 rem 256
  3. 621 rem 58
  4. 860 rem 30
  5. 108 rem 564
  6. 942 rem 832
  7. 901 rem 459
  8. 393 rem 1
  9. 147 rem 570
  10. 51 rem 4
  11. 902 rem 645
  12. 332 rem 77
  13. 23 rem 86
  14. 46 rem 551
  15. 446 rem 1
  16. 124 rem 37
  17. 104 rem 32
  18. 1111 rem 1
  19. 664 rem 15
  20. 97 rem 50
  21. 661 rem 403
  22. 1214 rem 3
  23. 187 rem 232
  24. 945 rem 547
  25. 805 rem 388
  26. 970 rem 617
  27. 157 rem 9
  28. 96 rem 58
  29. 907 rem 945
  30. 516 rem 90
  31. 576 rem 880
  32. 363 rem 58
  33. 368 rem 15
  34. 337 rem 53
  35. 941 rem 591
  36. 992 rem 63
  37. 711 rem 452
  38. 109 rem 787
  39. 240 rem 86
  40. 969 rem 2

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