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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 951 · 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. 1.16582 ÷ 98 =
  2. 2.57150 ÷ 97 =
  3. 3.143382 ÷ 897 =
  4. 4.91377 ÷ 997 =
  5. 5.146742 ÷ 997 =
  6. 6.76365 ÷ 88 =
  7. 7.41493 ÷ 97 =
  8. 8.72717 ÷ 97 =
  9. 9.928649 ÷ 989 =
  10. 10.65483 ÷ 97 =
  11. 11.750126 ÷ 897 =
  12. 12.19185 ÷ 89 =
  13. 13.291 ÷ 8 =
  14. 14.535974 ÷ 989 =
  15. 15.17406 ÷ 89 =
  16. 16.593704 ÷ 897 =
  17. 17.52816 ÷ 89 =
  18. 18.576861 ÷ 897 =
  19. 19.33650 ÷ 96 =
  20. 20.482622 ÷ 998 =
  21. 21.697223 ÷ 988 =
  22. 22.93169 ÷ 98 =
  23. 23.97245 ÷ 897 =
  24. 24.990036 ÷ 997 =
  25. 25.124541 ÷ 989 =
  26. 26.9419 ÷ 96 =
  27. 27.63131 ÷ 97 =
  28. 28.8812 ÷ 96 =
  29. 29.32394 ÷ 88 =
  30. 30.63043 ÷ 88 =
  31. 31.88564 ÷ 97 =
  32. 32.8536 ÷ 8 =
  33. 33.229369 ÷ 988 =
  34. 34.62351 ÷ 998 =
  35. 35.972070 ÷ 998 =
  36. 36.338109 ÷ 897 =
  37. 37.1486 ÷ 88 =
  38. 38.2882 ÷ 8 =
  39. 39.14387 ÷ 88 =
  40. 40.38794 ÷ 98 =

Answer key

  1. 169 rem 20
  2. 589 rem 17
  3. 159 rem 759
  4. 91 rem 650
  5. 147 rem 183
  6. 867 rem 69
  7. 427 rem 74
  8. 749 rem 64
  9. 938 rem 967
  10. 675 rem 8
  11. 836 rem 234
  12. 215 rem 50
  13. 36 rem 3
  14. 541 rem 925
  15. 195 rem 51
  16. 661 rem 787
  17. 593 rem 39
  18. 643 rem 90
  19. 350 rem 50
  20. 483 rem 588
  21. 705 rem 683
  22. 950 rem 69
  23. 108 rem 369
  24. 993 rem 15
  25. 125 rem 916
  26. 98 rem 11
  27. 650 rem 81
  28. 91 rem 76
  29. 368 rem 10
  30. 716 rem 35
  31. 913 rem 3
  32. 1067 rem 0
  33. 232 rem 153
  34. 62 rem 475
  35. 974 rem 18
  36. 376 rem 837
  37. 16 rem 78
  38. 360 rem 2
  39. 163 rem 43
  40. 395 rem 84

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