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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 33 · 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. 1.9609 ÷ 8 =
  2. 2.86000 ÷ 89 =
  3. 3.91055 ÷ 88 =
  4. 4.90830 ÷ 88 =
  5. 5.8283 ÷ 98 =
  6. 6.914658 ÷ 989 =
  7. 7.16034 ÷ 89 =
  8. 8.25910 ÷ 989 =
  9. 9.44415 ÷ 88 =
  10. 10.74751 ÷ 98 =
  11. 11.37933 ÷ 89 =
  12. 12.365781 ÷ 998 =
  13. 13.47889 ÷ 97 =
  14. 14.16115 ÷ 98 =
  15. 15.12801 ÷ 96 =
  16. 16.338872 ÷ 897 =
  17. 17.6568 ÷ 8 =
  18. 18.701088 ÷ 997 =
  19. 19.37379 ÷ 897 =
  20. 20.34393 ÷ 97 =
  21. 21.97108 ÷ 88 =
  22. 22.846798 ÷ 989 =
  23. 23.8072 ÷ 8 =
  24. 24.315 ÷ 8 =
  25. 25.44502 ÷ 98 =
  26. 26.4241 ÷ 88 =
  27. 27.2010 ÷ 8 =
  28. 28.24910 ÷ 96 =
  29. 29.70099 ÷ 997 =
  30. 30.90973 ÷ 98 =
  31. 31.406526 ÷ 989 =
  32. 32.58407 ÷ 998 =
  33. 33.99515 ÷ 98 =
  34. 34.57215 ÷ 89 =
  35. 35.763374 ÷ 897 =
  36. 36.176593 ÷ 997 =
  37. 37.11885 ÷ 98 =
  38. 38.11858 ÷ 96 =
  39. 39.45811 ÷ 96 =
  40. 40.9449 ÷ 96 =

Answer key

  1. 1201 rem 1
  2. 966 rem 26
  3. 1034 rem 63
  4. 1032 rem 14
  5. 84 rem 51
  6. 924 rem 822
  7. 180 rem 14
  8. 26 rem 196
  9. 504 rem 63
  10. 762 rem 75
  11. 426 rem 19
  12. 366 rem 513
  13. 493 rem 68
  14. 164 rem 43
  15. 133 rem 33
  16. 377 rem 703
  17. 821 rem 0
  18. 703 rem 197
  19. 41 rem 602
  20. 354 rem 55
  21. 1103 rem 44
  22. 856 rem 214
  23. 1009 rem 0
  24. 39 rem 3
  25. 454 rem 10
  26. 48 rem 17
  27. 251 rem 2
  28. 259 rem 46
  29. 70 rem 309
  30. 928 rem 29
  31. 411 rem 47
  32. 58 rem 523
  33. 1015 rem 45
  34. 642 rem 77
  35. 851 rem 27
  36. 177 rem 124
  37. 121 rem 27
  38. 123 rem 50
  39. 477 rem 19
  40. 98 rem 41

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