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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 693 · 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. 1.838311 ÷ 989 =
  2. 2.8443 ÷ 8 =
  3. 3.39076 ÷ 98 =
  4. 4.34564 ÷ 96 =
  5. 5.345492 ÷ 989 =
  6. 6.34646 ÷ 88 =
  7. 7.6849 ÷ 8 =
  8. 8.145034 ÷ 989 =
  9. 9.55118 ÷ 98 =
  10. 10.16120 ÷ 88 =
  11. 11.3662 ÷ 88 =
  12. 12.919969 ÷ 989 =
  13. 13.332504 ÷ 988 =
  14. 14.28835 ÷ 897 =
  15. 15.46188 ÷ 89 =
  16. 16.18749 ÷ 97 =
  17. 17.5700 ÷ 98 =
  18. 18.23444 ÷ 88 =
  19. 19.48644 ÷ 96 =
  20. 20.39345 ÷ 97 =
  21. 21.945321 ÷ 988 =
  22. 22.44077 ÷ 97 =
  23. 23.85281 ÷ 97 =
  24. 24.651274 ÷ 997 =
  25. 25.51988 ÷ 97 =
  26. 26.33027 ÷ 988 =
  27. 27.53170 ÷ 97 =
  28. 28.69529 ÷ 89 =
  29. 29.55190 ÷ 96 =
  30. 30.23307 ÷ 97 =
  31. 31.639117 ÷ 988 =
  32. 32.75778 ÷ 97 =
  33. 33.58067 ÷ 97 =
  34. 34.745286 ÷ 997 =
  35. 35.70547 ÷ 89 =
  36. 36.18347 ÷ 96 =
  37. 37.160315 ÷ 897 =
  38. 38.295988 ÷ 989 =
  39. 39.760715 ÷ 998 =
  40. 40.363260 ÷ 997 =

Answer key

  1. 847 rem 628
  2. 1055 rem 3
  3. 398 rem 72
  4. 360 rem 4
  5. 349 rem 331
  6. 393 rem 62
  7. 856 rem 1
  8. 146 rem 640
  9. 562 rem 42
  10. 183 rem 16
  11. 41 rem 54
  12. 930 rem 199
  13. 336 rem 536
  14. 32 rem 131
  15. 518 rem 86
  16. 193 rem 28
  17. 58 rem 16
  18. 266 rem 36
  19. 506 rem 68
  20. 405 rem 60
  21. 956 rem 793
  22. 454 rem 39
  23. 879 rem 18
  24. 653 rem 233
  25. 535 rem 93
  26. 33 rem 423
  27. 548 rem 14
  28. 781 rem 20
  29. 574 rem 86
  30. 240 rem 27
  31. 646 rem 869
  32. 781 rem 21
  33. 598 rem 61
  34. 747 rem 527
  35. 792 rem 59
  36. 191 rem 11
  37. 178 rem 649
  38. 299 rem 277
  39. 762 rem 239
  40. 364 rem 352

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