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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 212 · 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. 1.257425 ÷ 897 =
  2. 2.63553 ÷ 96 =
  3. 3.14588 ÷ 98 =
  4. 4.645947 ÷ 897 =
  5. 5.31581 ÷ 88 =
  6. 6.871 ÷ 8 =
  7. 7.17146 ÷ 997 =
  8. 8.6700 ÷ 89 =
  9. 9.278105 ÷ 998 =
  10. 10.22462 ÷ 97 =
  11. 11.21916 ÷ 89 =
  12. 12.714506 ÷ 988 =
  13. 13.239635 ÷ 997 =
  14. 14.15621 ÷ 97 =
  15. 15.242 ÷ 8 =
  16. 16.53076 ÷ 96 =
  17. 17.262976 ÷ 897 =
  18. 18.734206 ÷ 897 =
  19. 19.698686 ÷ 998 =
  20. 20.2719 ÷ 8 =
  21. 21.18141 ÷ 89 =
  22. 22.72156 ÷ 89 =
  23. 23.13227 ÷ 97 =
  24. 24.74040 ÷ 88 =
  25. 25.3160 ÷ 8 =
  26. 26.435408 ÷ 897 =
  27. 27.37280 ÷ 98 =
  28. 28.647204 ÷ 997 =
  29. 29.721684 ÷ 998 =
  30. 30.273353 ÷ 989 =
  31. 31.35793 ÷ 88 =
  32. 32.752382 ÷ 897 =
  33. 33.29616 ÷ 89 =
  34. 34.387048 ÷ 997 =
  35. 35.68919 ÷ 88 =
  36. 36.36544 ÷ 89 =
  37. 37.22988 ÷ 989 =
  38. 38.856246 ÷ 897 =
  39. 39.52807 ÷ 96 =
  40. 40.82661 ÷ 897 =

Answer key

  1. 286 rem 883
  2. 662 rem 1
  3. 148 rem 84
  4. 720 rem 107
  5. 358 rem 77
  6. 108 rem 7
  7. 17 rem 197
  8. 75 rem 25
  9. 278 rem 661
  10. 231 rem 55
  11. 246 rem 22
  12. 723 rem 182
  13. 240 rem 355
  14. 161 rem 4
  15. 30 rem 2
  16. 552 rem 84
  17. 293 rem 155
  18. 818 rem 460
  19. 700 rem 86
  20. 339 rem 7
  21. 203 rem 74
  22. 810 rem 66
  23. 136 rem 35
  24. 841 rem 32
  25. 395 rem 0
  26. 485 rem 363
  27. 380 rem 40
  28. 649 rem 151
  29. 723 rem 130
  30. 276 rem 389
  31. 406 rem 65
  32. 838 rem 696
  33. 332 rem 68
  34. 388 rem 212
  35. 783 rem 15
  36. 410 rem 54
  37. 23 rem 241
  38. 954 rem 508
  39. 550 rem 7
  40. 92 rem 137

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