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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 363 · 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. 1.948001 ÷ 989 =
  2. 2.191668 ÷ 988 =
  3. 3.250422 ÷ 897 =
  4. 4.813691 ÷ 998 =
  5. 5.53923 ÷ 88 =
  6. 6.173598 ÷ 988 =
  7. 7.679769 ÷ 997 =
  8. 8.11684 ÷ 96 =
  9. 9.29839 ÷ 88 =
  10. 10.63326 ÷ 88 =
  11. 11.334269 ÷ 989 =
  12. 12.97409 ÷ 88 =
  13. 13.831360 ÷ 988 =
  14. 14.275002 ÷ 998 =
  15. 15.69288 ÷ 96 =
  16. 16.265521 ÷ 989 =
  17. 17.56011 ÷ 89 =
  18. 18.616338 ÷ 989 =
  19. 19.201326 ÷ 897 =
  20. 20.23410 ÷ 88 =
  21. 21.8329 ÷ 88 =
  22. 22.11239 ÷ 89 =
  23. 23.7136 ÷ 8 =
  24. 24.153108 ÷ 988 =
  25. 25.573827 ÷ 998 =
  26. 26.47515 ÷ 98 =
  27. 27.901370 ÷ 997 =
  28. 28.92146 ÷ 96 =
  29. 29.682505 ÷ 988 =
  30. 30.35321 ÷ 88 =
  31. 31.749455 ÷ 998 =
  32. 32.96841 ÷ 96 =
  33. 33.81915 ÷ 98 =
  34. 34.526324 ÷ 989 =
  35. 35.45118 ÷ 88 =
  36. 36.113458 ÷ 997 =
  37. 37.6270 ÷ 97 =
  38. 38.36948 ÷ 96 =
  39. 39.2550 ÷ 8 =
  40. 40.82739 ÷ 96 =

Answer key

  1. 958 rem 539
  2. 193 rem 984
  3. 279 rem 159
  4. 815 rem 321
  5. 612 rem 67
  6. 175 rem 698
  7. 681 rem 812
  8. 121 rem 68
  9. 339 rem 7
  10. 719 rem 54
  11. 337 rem 976
  12. 1106 rem 81
  13. 841 rem 452
  14. 275 rem 552
  15. 721 rem 72
  16. 268 rem 469
  17. 629 rem 30
  18. 623 rem 191
  19. 224 rem 398
  20. 266 rem 2
  21. 94 rem 57
  22. 126 rem 25
  23. 892 rem 0
  24. 154 rem 956
  25. 574 rem 975
  26. 484 rem 83
  27. 904 rem 82
  28. 959 rem 82
  29. 690 rem 785
  30. 401 rem 33
  31. 750 rem 955
  32. 1008 rem 73
  33. 835 rem 85
  34. 532 rem 176
  35. 512 rem 62
  36. 113 rem 797
  37. 64 rem 62
  38. 384 rem 84
  39. 318 rem 6
  40. 861 rem 83

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