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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 424 · 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. 1.738209 ÷ 997 =
  2. 2.696936 ÷ 989 =
  3. 3.265459 ÷ 988 =
  4. 4.352835 ÷ 988 =
  5. 5.45495 ÷ 98 =
  6. 6.281125 ÷ 897 =
  7. 7.791356 ÷ 988 =
  8. 8.69836 ÷ 998 =
  9. 9.8996 ÷ 8 =
  10. 10.11098 ÷ 88 =
  11. 11.2408 ÷ 8 =
  12. 12.87513 ÷ 88 =
  13. 13.73756 ÷ 96 =
  14. 14.17624 ÷ 97 =
  15. 15.50983 ÷ 88 =
  16. 16.6984 ÷ 8 =
  17. 17.91432 ÷ 96 =
  18. 18.35212 ÷ 96 =
  19. 19.63788 ÷ 97 =
  20. 20.663633 ÷ 988 =
  21. 21.73456 ÷ 88 =
  22. 22.1240 ÷ 8 =
  23. 23.56269 ÷ 998 =
  24. 24.7671 ÷ 8 =
  25. 25.44498 ÷ 97 =
  26. 26.773569 ÷ 897 =
  27. 27.54305 ÷ 89 =
  28. 28.37923 ÷ 988 =
  29. 29.2805 ÷ 8 =
  30. 30.9129 ÷ 8 =
  31. 31.273807 ÷ 989 =
  32. 32.7008 ÷ 88 =
  33. 33.6002 ÷ 8 =
  34. 34.53519 ÷ 998 =
  35. 35.37853 ÷ 88 =
  36. 36.35161 ÷ 89 =
  37. 37.40824 ÷ 97 =
  38. 38.14503 ÷ 998 =
  39. 39.23554 ÷ 98 =
  40. 40.232701 ÷ 897 =

Answer key

  1. 740 rem 429
  2. 704 rem 680
  3. 268 rem 675
  4. 357 rem 119
  5. 464 rem 23
  6. 313 rem 364
  7. 800 rem 956
  8. 69 rem 974
  9. 1124 rem 4
  10. 126 rem 10
  11. 301 rem 0
  12. 994 rem 41
  13. 768 rem 28
  14. 181 rem 67
  15. 579 rem 31
  16. 873 rem 0
  17. 952 rem 40
  18. 366 rem 76
  19. 657 rem 59
  20. 671 rem 685
  21. 834 rem 64
  22. 155 rem 0
  23. 56 rem 381
  24. 958 rem 7
  25. 458 rem 72
  26. 862 rem 355
  27. 610 rem 15
  28. 38 rem 379
  29. 350 rem 5
  30. 1141 rem 1
  31. 276 rem 843
  32. 79 rem 56
  33. 750 rem 2
  34. 53 rem 625
  35. 430 rem 13
  36. 395 rem 6
  37. 420 rem 84
  38. 14 rem 531
  39. 240 rem 34
  40. 259 rem 378

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