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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 110 · 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. 1.428847 ÷ 988 =
  2. 2.448334 ÷ 988 =
  3. 3.82615 ÷ 997 =
  4. 4.26798 ÷ 97 =
  5. 5.741556 ÷ 897 =
  6. 6.74610 ÷ 96 =
  7. 7.96043 ÷ 97 =
  8. 8.13995 ÷ 98 =
  9. 9.78575 ÷ 98 =
  10. 10.440412 ÷ 988 =
  11. 11.6539 ÷ 8 =
  12. 12.15695 ÷ 89 =
  13. 13.24556 ÷ 997 =
  14. 14.7773 ÷ 8 =
  15. 15.9488 ÷ 8 =
  16. 16.911283 ÷ 989 =
  17. 17.99159 ÷ 97 =
  18. 18.869712 ÷ 989 =
  19. 19.24635 ÷ 89 =
  20. 20.974911 ÷ 897 =
  21. 21.26970 ÷ 96 =
  22. 22.12874 ÷ 89 =
  23. 23.76352 ÷ 96 =
  24. 24.993579 ÷ 988 =
  25. 25.21926 ÷ 98 =
  26. 26.207004 ÷ 897 =
  27. 27.732539 ÷ 997 =
  28. 28.64613 ÷ 96 =
  29. 29.265091 ÷ 897 =
  30. 30.495918 ÷ 988 =
  31. 31.17832 ÷ 97 =
  32. 32.6909 ÷ 8 =
  33. 33.474041 ÷ 998 =
  34. 34.49464 ÷ 96 =
  35. 35.59937 ÷ 88 =
  36. 36.931929 ÷ 998 =
  37. 37.5604 ÷ 96 =
  38. 38.352921 ÷ 989 =
  39. 39.978 ÷ 8 =
  40. 40.122430 ÷ 989 =

Answer key

  1. 434 rem 55
  2. 453 rem 770
  3. 82 rem 861
  4. 276 rem 26
  5. 826 rem 634
  6. 777 rem 18
  7. 990 rem 13
  8. 142 rem 79
  9. 801 rem 77
  10. 445 rem 752
  11. 817 rem 3
  12. 176 rem 31
  13. 24 rem 628
  14. 971 rem 5
  15. 1186 rem 0
  16. 921 rem 414
  17. 1022 rem 25
  18. 879 rem 381
  19. 276 rem 71
  20. 1086 rem 769
  21. 280 rem 90
  22. 144 rem 58
  23. 795 rem 32
  24. 1005 rem 639
  25. 223 rem 72
  26. 230 rem 694
  27. 734 rem 741
  28. 673 rem 5
  29. 295 rem 476
  30. 501 rem 930
  31. 183 rem 81
  32. 863 rem 5
  33. 474 rem 989
  34. 515 rem 24
  35. 681 rem 9
  36. 933 rem 795
  37. 58 rem 36
  38. 356 rem 837
  39. 122 rem 2
  40. 123 rem 783

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