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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 379 · 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. 1.827101 ÷ 897 =
  2. 2.87488 ÷ 98 =
  3. 3.375622 ÷ 997 =
  4. 4.4678 ÷ 96 =
  5. 5.944849 ÷ 897 =
  6. 6.495711 ÷ 997 =
  7. 7.18891 ÷ 89 =
  8. 8.5878 ÷ 98 =
  9. 9.940596 ÷ 989 =
  10. 10.8520 ÷ 89 =
  11. 11.41896 ÷ 96 =
  12. 12.13759 ÷ 97 =
  13. 13.515480 ÷ 989 =
  14. 14.594345 ÷ 989 =
  15. 15.6568 ÷ 8 =
  16. 16.928 ÷ 8 =
  17. 17.903403 ÷ 897 =
  18. 18.49367 ÷ 97 =
  19. 19.476478 ÷ 897 =
  20. 20.5973 ÷ 89 =
  21. 21.269148 ÷ 997 =
  22. 22.669973 ÷ 997 =
  23. 23.7266 ÷ 98 =
  24. 24.82144 ÷ 89 =
  25. 25.25821 ÷ 88 =
  26. 26.138309 ÷ 997 =
  27. 27.29493 ÷ 96 =
  28. 28.869028 ÷ 989 =
  29. 29.68412 ÷ 88 =
  30. 30.908469 ÷ 997 =
  31. 31.14812 ÷ 88 =
  32. 32.66115 ÷ 89 =
  33. 33.5126 ÷ 8 =
  34. 34.34121 ÷ 97 =
  35. 35.9264 ÷ 88 =
  36. 36.56518 ÷ 88 =
  37. 37.724988 ÷ 998 =
  38. 38.28084 ÷ 89 =
  39. 39.52688 ÷ 98 =
  40. 40.98003 ÷ 88 =

Answer key

  1. 922 rem 67
  2. 892 rem 72
  3. 376 rem 750
  4. 48 rem 70
  5. 1053 rem 308
  6. 497 rem 202
  7. 212 rem 23
  8. 59 rem 96
  9. 951 rem 57
  10. 95 rem 65
  11. 436 rem 40
  12. 141 rem 82
  13. 521 rem 211
  14. 600 rem 945
  15. 821 rem 0
  16. 116 rem 0
  17. 1007 rem 124
  18. 508 rem 91
  19. 531 rem 171
  20. 67 rem 10
  21. 269 rem 955
  22. 671 rem 986
  23. 74 rem 14
  24. 922 rem 86
  25. 293 rem 37
  26. 138 rem 723
  27. 307 rem 21
  28. 878 rem 686
  29. 777 rem 36
  30. 911 rem 202
  31. 168 rem 28
  32. 742 rem 77
  33. 640 rem 6
  34. 351 rem 74
  35. 105 rem 24
  36. 642 rem 22
  37. 726 rem 440
  38. 315 rem 49
  39. 537 rem 62
  40. 1113 rem 59

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