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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 48 · 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. 1.512606 ÷ 897 =
  2. 2.41089 ÷ 97 =
  3. 3.691395 ÷ 989 =
  4. 4.300660 ÷ 988 =
  5. 5.600487 ÷ 897 =
  6. 6.144945 ÷ 988 =
  7. 7.14497 ÷ 98 =
  8. 8.3029 ÷ 96 =
  9. 9.26733 ÷ 97 =
  10. 10.51816 ÷ 98 =
  11. 11.61975 ÷ 96 =
  12. 12.273927 ÷ 897 =
  13. 13.748387 ÷ 988 =
  14. 14.99206 ÷ 97 =
  15. 15.412750 ÷ 998 =
  16. 16.96999 ÷ 96 =
  17. 17.4769 ÷ 8 =
  18. 18.31837 ÷ 997 =
  19. 19.66932 ÷ 97 =
  20. 20.5368 ÷ 8 =
  21. 21.274351 ÷ 897 =
  22. 22.47258 ÷ 989 =
  23. 23.34579 ÷ 96 =
  24. 24.976410 ÷ 998 =
  25. 25.83924 ÷ 89 =
  26. 26.264682 ÷ 997 =
  27. 27.927219 ÷ 997 =
  28. 28.65935 ÷ 97 =
  29. 29.70151 ÷ 89 =
  30. 30.534102 ÷ 988 =
  31. 31.270182 ÷ 998 =
  32. 32.32719 ÷ 97 =
  33. 33.85263 ÷ 96 =
  34. 34.754668 ÷ 998 =
  35. 35.832118 ÷ 997 =
  36. 36.144211 ÷ 897 =
  37. 37.78033 ÷ 989 =
  38. 38.649896 ÷ 989 =
  39. 39.574096 ÷ 998 =
  40. 40.41132 ÷ 97 =

Answer key

  1. 571 rem 419
  2. 423 rem 58
  3. 699 rem 84
  4. 304 rem 308
  5. 669 rem 394
  6. 146 rem 697
  7. 147 rem 91
  8. 31 rem 53
  9. 275 rem 58
  10. 528 rem 72
  11. 645 rem 55
  12. 305 rem 342
  13. 757 rem 471
  14. 1022 rem 72
  15. 413 rem 576
  16. 1010 rem 39
  17. 596 rem 1
  18. 31 rem 930
  19. 690 rem 2
  20. 671 rem 0
  21. 305 rem 766
  22. 47 rem 775
  23. 360 rem 19
  24. 978 rem 366
  25. 942 rem 86
  26. 265 rem 477
  27. 930 rem 9
  28. 679 rem 72
  29. 788 rem 19
  30. 540 rem 582
  31. 270 rem 722
  32. 337 rem 30
  33. 888 rem 15
  34. 756 rem 180
  35. 834 rem 620
  36. 160 rem 691
  37. 78 rem 891
  38. 657 rem 123
  39. 575 rem 246
  40. 424 rem 4

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