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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 802 · 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. 1.30772 ÷ 98 =
  2. 2.229106 ÷ 989 =
  3. 3.14887 ÷ 989 =
  4. 4.623153 ÷ 897 =
  5. 5.69411 ÷ 88 =
  6. 6.17260 ÷ 97 =
  7. 7.56383 ÷ 89 =
  8. 8.52391 ÷ 97 =
  9. 9.39166 ÷ 897 =
  10. 10.484157 ÷ 988 =
  11. 11.321 ÷ 8 =
  12. 12.6499 ÷ 8 =
  13. 13.788427 ÷ 988 =
  14. 14.409940 ÷ 998 =
  15. 15.127114 ÷ 998 =
  16. 16.631433 ÷ 997 =
  17. 17.447327 ÷ 897 =
  18. 18.863156 ÷ 988 =
  19. 19.713295 ÷ 989 =
  20. 20.252296 ÷ 897 =
  21. 21.49505 ÷ 96 =
  22. 22.61939 ÷ 96 =
  23. 23.26272 ÷ 96 =
  24. 24.457074 ÷ 997 =
  25. 25.23090 ÷ 96 =
  26. 26.92631 ÷ 96 =
  27. 27.291641 ÷ 897 =
  28. 28.30882 ÷ 988 =
  29. 29.550729 ÷ 997 =
  30. 30.84910 ÷ 97 =
  31. 31.31787 ÷ 89 =
  32. 32.455954 ÷ 997 =
  33. 33.10263 ÷ 96 =
  34. 34.244198 ÷ 897 =
  35. 35.19900 ÷ 89 =
  36. 36.206073 ÷ 989 =
  37. 37.75025 ÷ 97 =
  38. 38.29051 ÷ 96 =
  39. 39.92203 ÷ 998 =
  40. 40.17369 ÷ 96 =

Answer key

  1. 314 rem 0
  2. 231 rem 647
  3. 15 rem 52
  4. 694 rem 635
  5. 788 rem 67
  6. 177 rem 91
  7. 633 rem 46
  8. 540 rem 11
  9. 43 rem 595
  10. 490 rem 37
  11. 40 rem 1
  12. 812 rem 3
  13. 798 rem 3
  14. 410 rem 760
  15. 127 rem 368
  16. 633 rem 332
  17. 498 rem 621
  18. 873 rem 632
  19. 721 rem 226
  20. 281 rem 239
  21. 515 rem 65
  22. 645 rem 19
  23. 273 rem 64
  24. 458 rem 448
  25. 240 rem 50
  26. 964 rem 87
  27. 325 rem 116
  28. 31 rem 254
  29. 552 rem 385
  30. 875 rem 35
  31. 357 rem 14
  32. 457 rem 325
  33. 106 rem 87
  34. 272 rem 214
  35. 223 rem 53
  36. 208 rem 361
  37. 773 rem 44
  38. 302 rem 59
  39. 92 rem 387
  40. 180 rem 89

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