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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 95 · 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. 1.158918 ÷ 997 =
  2. 2.352802 ÷ 989 =
  3. 3.10279 ÷ 97 =
  4. 4.53176 ÷ 88 =
  5. 5.5659 ÷ 8 =
  6. 6.597653 ÷ 998 =
  7. 7.13872 ÷ 98 =
  8. 8.407526 ÷ 998 =
  9. 9.86499 ÷ 98 =
  10. 10.96702 ÷ 989 =
  11. 11.414769 ÷ 989 =
  12. 12.3601 ÷ 8 =
  13. 13.79316 ÷ 97 =
  14. 14.507504 ÷ 989 =
  15. 15.575010 ÷ 997 =
  16. 16.10259 ÷ 98 =
  17. 17.788766 ÷ 988 =
  18. 18.30954 ÷ 98 =
  19. 19.356512 ÷ 998 =
  20. 20.17146 ÷ 89 =
  21. 21.40008 ÷ 98 =
  22. 22.766422 ÷ 989 =
  23. 23.560289 ÷ 988 =
  24. 24.40171 ÷ 98 =
  25. 25.741074 ÷ 988 =
  26. 26.452706 ÷ 989 =
  27. 27.393041 ÷ 998 =
  28. 28.216231 ÷ 988 =
  29. 29.25634 ÷ 97 =
  30. 30.4474 ÷ 8 =
  31. 31.96087 ÷ 89 =
  32. 32.24092 ÷ 97 =
  33. 33.93896 ÷ 89 =
  34. 34.506681 ÷ 988 =
  35. 35.13435 ÷ 97 =
  36. 36.21381 ÷ 88 =
  37. 37.64136 ÷ 88 =
  38. 38.6077 ÷ 8 =
  39. 39.510312 ÷ 989 =
  40. 40.93511 ÷ 89 =

Answer key

  1. 159 rem 395
  2. 356 rem 718
  3. 105 rem 94
  4. 604 rem 24
  5. 707 rem 3
  6. 598 rem 849
  7. 141 rem 54
  8. 408 rem 342
  9. 882 rem 63
  10. 97 rem 769
  11. 419 rem 378
  12. 450 rem 1
  13. 817 rem 67
  14. 513 rem 147
  15. 576 rem 738
  16. 104 rem 67
  17. 798 rem 342
  18. 315 rem 84
  19. 357 rem 226
  20. 192 rem 58
  21. 408 rem 24
  22. 774 rem 936
  23. 567 rem 93
  24. 409 rem 89
  25. 750 rem 74
  26. 457 rem 733
  27. 393 rem 827
  28. 218 rem 847
  29. 264 rem 26
  30. 559 rem 2
  31. 1079 rem 56
  32. 248 rem 36
  33. 1055 rem 1
  34. 512 rem 825
  35. 138 rem 49
  36. 242 rem 85
  37. 728 rem 72
  38. 759 rem 5
  39. 515 rem 977
  40. 1050 rem 61

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