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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 290 · 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. 1.145186 ÷ 989 =
  2. 2.748761 ÷ 989 =
  3. 3.29326 ÷ 988 =
  4. 4.392765 ÷ 997 =
  5. 5.29508 ÷ 97 =
  6. 6.70740 ÷ 998 =
  7. 7.71542 ÷ 88 =
  8. 8.46291 ÷ 89 =
  9. 9.63948 ÷ 97 =
  10. 10.15067 ÷ 997 =
  11. 11.95341 ÷ 96 =
  12. 12.2331 ÷ 8 =
  13. 13.79378 ÷ 89 =
  14. 14.80070 ÷ 98 =
  15. 15.9018 ÷ 98 =
  16. 16.7141 ÷ 8 =
  17. 17.174207 ÷ 997 =
  18. 18.62471 ÷ 988 =
  19. 19.35807 ÷ 98 =
  20. 20.426665 ÷ 997 =
  21. 21.849132 ÷ 988 =
  22. 22.653507 ÷ 998 =
  23. 23.8872 ÷ 8 =
  24. 24.83887 ÷ 97 =
  25. 25.670234 ÷ 988 =
  26. 26.14337 ÷ 89 =
  27. 27.46327 ÷ 88 =
  28. 28.886730 ÷ 998 =
  29. 29.911744 ÷ 997 =
  30. 30.150608 ÷ 988 =
  31. 31.63578 ÷ 98 =
  32. 32.931185 ÷ 989 =
  33. 33.249362 ÷ 998 =
  34. 34.25741 ÷ 89 =
  35. 35.390 ÷ 8 =
  36. 36.44559 ÷ 89 =
  37. 37.209359 ÷ 989 =
  38. 38.7603 ÷ 96 =
  39. 39.867427 ÷ 998 =
  40. 40.183700 ÷ 988 =

Answer key

  1. 146 rem 792
  2. 757 rem 88
  3. 29 rem 674
  4. 393 rem 944
  5. 304 rem 20
  6. 70 rem 880
  7. 812 rem 86
  8. 520 rem 11
  9. 659 rem 25
  10. 15 rem 112
  11. 993 rem 13
  12. 291 rem 3
  13. 891 rem 79
  14. 817 rem 4
  15. 92 rem 2
  16. 892 rem 5
  17. 174 rem 729
  18. 63 rem 227
  19. 365 rem 37
  20. 427 rem 946
  21. 859 rem 440
  22. 654 rem 815
  23. 1109 rem 0
  24. 864 rem 79
  25. 678 rem 370
  26. 161 rem 8
  27. 526 rem 39
  28. 888 rem 506
  29. 914 rem 486
  30. 152 rem 432
  31. 648 rem 74
  32. 941 rem 536
  33. 249 rem 860
  34. 289 rem 20
  35. 48 rem 6
  36. 500 rem 59
  37. 211 rem 680
  38. 79 rem 19
  39. 869 rem 165
  40. 185 rem 920

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