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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 720 · 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. 1.67379 ÷ 96 =
  2. 2.867537 ÷ 997 =
  3. 3.530343 ÷ 997 =
  4. 4.854897 ÷ 997 =
  5. 5.13041 ÷ 97 =
  6. 6.60675 ÷ 89 =
  7. 7.51120 ÷ 97 =
  8. 8.425 ÷ 8 =
  9. 9.74027 ÷ 89 =
  10. 10.182982 ÷ 989 =
  11. 11.19782 ÷ 97 =
  12. 12.91930 ÷ 98 =
  13. 13.68130 ÷ 88 =
  14. 14.26431 ÷ 98 =
  15. 15.5763 ÷ 97 =
  16. 16.89944 ÷ 96 =
  17. 17.68693 ÷ 88 =
  18. 18.70293 ÷ 89 =
  19. 19.63137 ÷ 97 =
  20. 20.35848 ÷ 97 =
  21. 21.747301 ÷ 989 =
  22. 22.51417 ÷ 97 =
  23. 23.561254 ÷ 897 =
  24. 24.76248 ÷ 98 =
  25. 25.541948 ÷ 997 =
  26. 26.30434 ÷ 97 =
  27. 27.92747 ÷ 96 =
  28. 28.972807 ÷ 988 =
  29. 29.209613 ÷ 997 =
  30. 30.313050 ÷ 998 =
  31. 31.43770 ÷ 88 =
  32. 32.29870 ÷ 998 =
  33. 33.832272 ÷ 989 =
  34. 34.738104 ÷ 997 =
  35. 35.51882 ÷ 88 =
  36. 36.91391 ÷ 98 =
  37. 37.36964 ÷ 89 =
  38. 38.952042 ÷ 988 =
  39. 39.316194 ÷ 989 =
  40. 40.195469 ÷ 989 =

Answer key

  1. 701 rem 83
  2. 870 rem 147
  3. 531 rem 936
  4. 857 rem 468
  5. 134 rem 43
  6. 681 rem 66
  7. 527 rem 1
  8. 53 rem 1
  9. 831 rem 68
  10. 185 rem 17
  11. 203 rem 91
  12. 938 rem 6
  13. 774 rem 18
  14. 269 rem 69
  15. 59 rem 40
  16. 936 rem 88
  17. 780 rem 53
  18. 789 rem 72
  19. 650 rem 87
  20. 369 rem 55
  21. 755 rem 606
  22. 530 rem 7
  23. 625 rem 629
  24. 778 rem 4
  25. 543 rem 577
  26. 313 rem 73
  27. 966 rem 11
  28. 984 rem 615
  29. 210 rem 243
  30. 313 rem 676
  31. 497 rem 34
  32. 29 rem 928
  33. 841 rem 523
  34. 740 rem 324
  35. 589 rem 50
  36. 932 rem 55
  37. 415 rem 29
  38. 963 rem 598
  39. 319 rem 703
  40. 197 rem 636

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