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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 533 · 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. 1.61063 ÷ 96 =
  2. 2.32890 ÷ 98 =
  3. 3.39819 ÷ 96 =
  4. 4.172421 ÷ 997 =
  5. 5.22492 ÷ 89 =
  6. 6.96925 ÷ 89 =
  7. 7.937724 ÷ 988 =
  8. 8.22004 ÷ 89 =
  9. 9.63915 ÷ 98 =
  10. 10.72955 ÷ 997 =
  11. 11.89947 ÷ 97 =
  12. 12.13413 ÷ 98 =
  13. 13.359139 ÷ 897 =
  14. 14.4845 ÷ 98 =
  15. 15.432624 ÷ 997 =
  16. 16.5330 ÷ 8 =
  17. 17.253045 ÷ 897 =
  18. 18.8839 ÷ 8 =
  19. 19.259161 ÷ 988 =
  20. 20.663492 ÷ 997 =
  21. 21.714102 ÷ 998 =
  22. 22.2945 ÷ 8 =
  23. 23.95084 ÷ 98 =
  24. 24.71877 ÷ 97 =
  25. 25.60445 ÷ 97 =
  26. 26.25061 ÷ 98 =
  27. 27.16216 ÷ 96 =
  28. 28.70484 ÷ 97 =
  29. 29.6502 ÷ 98 =
  30. 30.682310 ÷ 897 =
  31. 31.982258 ÷ 998 =
  32. 32.89064 ÷ 98 =
  33. 33.511252 ÷ 997 =
  34. 34.94605 ÷ 89 =
  35. 35.264783 ÷ 897 =
  36. 36.755126 ÷ 998 =
  37. 37.744357 ÷ 988 =
  38. 38.410069 ÷ 897 =
  39. 39.16846 ÷ 88 =
  40. 40.17459 ÷ 96 =

Answer key

  1. 636 rem 7
  2. 335 rem 60
  3. 414 rem 75
  4. 172 rem 937
  5. 252 rem 64
  6. 1089 rem 4
  7. 949 rem 112
  8. 247 rem 21
  9. 652 rem 19
  10. 73 rem 174
  11. 927 rem 28
  12. 136 rem 85
  13. 400 rem 339
  14. 49 rem 43
  15. 433 rem 923
  16. 666 rem 2
  17. 282 rem 91
  18. 1104 rem 7
  19. 262 rem 305
  20. 665 rem 487
  21. 715 rem 532
  22. 368 rem 1
  23. 970 rem 24
  24. 741 rem 0
  25. 623 rem 14
  26. 255 rem 71
  27. 168 rem 88
  28. 726 rem 62
  29. 66 rem 34
  30. 760 rem 590
  31. 984 rem 226
  32. 908 rem 80
  33. 512 rem 788
  34. 1062 rem 87
  35. 295 rem 168
  36. 756 rem 638
  37. 753 rem 393
  38. 457 rem 140
  39. 191 rem 38
  40. 181 rem 83

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