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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 759 · 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. 1.45942 ÷ 89 =
  2. 2.818118 ÷ 988 =
  3. 3.30688 ÷ 88 =
  4. 4.9430 ÷ 8 =
  5. 5.271589 ÷ 997 =
  6. 6.810885 ÷ 988 =
  7. 7.77527 ÷ 96 =
  8. 8.7133 ÷ 8 =
  9. 9.136960 ÷ 989 =
  10. 10.83769 ÷ 97 =
  11. 11.19044 ÷ 88 =
  12. 12.187041 ÷ 897 =
  13. 13.222798 ÷ 989 =
  14. 14.24074 ÷ 88 =
  15. 15.53919 ÷ 98 =
  16. 16.10737 ÷ 98 =
  17. 17.541880 ÷ 897 =
  18. 18.66132 ÷ 98 =
  19. 19.405501 ÷ 897 =
  20. 20.55404 ÷ 89 =
  21. 21.97736 ÷ 98 =
  22. 22.7778 ÷ 8 =
  23. 23.23484 ÷ 89 =
  24. 24.95556 ÷ 89 =
  25. 25.82915 ÷ 97 =
  26. 26.427706 ÷ 989 =
  27. 27.28046 ÷ 98 =
  28. 28.556548 ÷ 989 =
  29. 29.10730 ÷ 97 =
  30. 30.446076 ÷ 997 =
  31. 31.99996 ÷ 98 =
  32. 32.31197 ÷ 997 =
  33. 33.94719 ÷ 98 =
  34. 34.347 ÷ 8 =
  35. 35.1134 ÷ 8 =
  36. 36.4815 ÷ 8 =
  37. 37.462585 ÷ 998 =
  38. 38.45587 ÷ 998 =
  39. 39.27160 ÷ 97 =
  40. 40.51379 ÷ 97 =

Answer key

  1. 516 rem 18
  2. 828 rem 54
  3. 348 rem 64
  4. 1178 rem 6
  5. 272 rem 405
  6. 820 rem 725
  7. 807 rem 55
  8. 891 rem 5
  9. 138 rem 478
  10. 863 rem 58
  11. 216 rem 36
  12. 208 rem 465
  13. 225 rem 273
  14. 273 rem 50
  15. 550 rem 19
  16. 109 rem 55
  17. 604 rem 92
  18. 674 rem 80
  19. 452 rem 57
  20. 622 rem 46
  21. 997 rem 30
  22. 972 rem 2
  23. 263 rem 77
  24. 1073 rem 59
  25. 854 rem 77
  26. 432 rem 458
  27. 286 rem 18
  28. 562 rem 730
  29. 110 rem 60
  30. 447 rem 417
  31. 1020 rem 36
  32. 31 rem 290
  33. 966 rem 51
  34. 43 rem 3
  35. 141 rem 6
  36. 601 rem 7
  37. 463 rem 511
  38. 45 rem 677
  39. 280 rem 0
  40. 529 rem 66

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