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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 180 · 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. 1.23370 ÷ 97 =
  2. 2.11175 ÷ 98 =
  3. 3.876893 ÷ 998 =
  4. 4.24269 ÷ 89 =
  5. 5.748186 ÷ 988 =
  6. 6.399682 ÷ 989 =
  7. 7.81777 ÷ 88 =
  8. 8.84493 ÷ 97 =
  9. 9.8005 ÷ 8 =
  10. 10.170322 ÷ 897 =
  11. 11.4834 ÷ 8 =
  12. 12.26321 ÷ 97 =
  13. 13.16103 ÷ 96 =
  14. 14.93513 ÷ 97 =
  15. 15.70932 ÷ 96 =
  16. 16.813649 ÷ 998 =
  17. 17.87203 ÷ 96 =
  18. 18.40325 ÷ 96 =
  19. 19.59317 ÷ 97 =
  20. 20.260569 ÷ 988 =
  21. 21.31350 ÷ 96 =
  22. 22.92813 ÷ 96 =
  23. 23.83271 ÷ 96 =
  24. 24.942007 ÷ 998 =
  25. 25.244526 ÷ 988 =
  26. 26.28359 ÷ 89 =
  27. 27.59277 ÷ 88 =
  28. 28.57085 ÷ 97 =
  29. 29.35760 ÷ 96 =
  30. 30.37611 ÷ 97 =
  31. 31.895157 ÷ 997 =
  32. 32.10947 ÷ 96 =
  33. 33.88699 ÷ 997 =
  34. 34.37839 ÷ 98 =
  35. 35.8917 ÷ 88 =
  36. 36.896835 ÷ 998 =
  37. 37.407463 ÷ 897 =
  38. 38.249456 ÷ 998 =
  39. 39.27352 ÷ 89 =
  40. 40.690120 ÷ 989 =

Answer key

  1. 240 rem 90
  2. 114 rem 3
  3. 878 rem 649
  4. 272 rem 61
  5. 757 rem 270
  6. 404 rem 126
  7. 929 rem 25
  8. 871 rem 6
  9. 1000 rem 5
  10. 189 rem 789
  11. 604 rem 2
  12. 271 rem 34
  13. 167 rem 71
  14. 964 rem 5
  15. 738 rem 84
  16. 815 rem 279
  17. 908 rem 35
  18. 420 rem 5
  19. 611 rem 50
  20. 263 rem 725
  21. 326 rem 54
  22. 966 rem 77
  23. 867 rem 39
  24. 943 rem 893
  25. 247 rem 490
  26. 318 rem 57
  27. 673 rem 53
  28. 588 rem 49
  29. 372 rem 48
  30. 387 rem 72
  31. 897 rem 848
  32. 114 rem 3
  33. 88 rem 963
  34. 386 rem 11
  35. 101 rem 29
  36. 898 rem 631
  37. 454 rem 225
  38. 249 rem 954
  39. 307 rem 29
  40. 697 rem 787

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