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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 384 · 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. 1.77428 ÷ 89 =
  2. 2.75065 ÷ 96 =
  3. 3.3128 ÷ 8 =
  4. 4.785452 ÷ 989 =
  5. 5.120113 ÷ 897 =
  6. 6.91158 ÷ 96 =
  7. 7.658388 ÷ 897 =
  8. 8.175643 ÷ 897 =
  9. 9.110477 ÷ 989 =
  10. 10.961593 ÷ 998 =
  11. 11.72250 ÷ 97 =
  12. 12.459429 ÷ 997 =
  13. 13.37396 ÷ 89 =
  14. 14.537261 ÷ 998 =
  15. 15.84121 ÷ 897 =
  16. 16.16558 ÷ 97 =
  17. 17.27313 ÷ 98 =
  18. 18.444639 ÷ 998 =
  19. 19.212094 ÷ 897 =
  20. 20.186175 ÷ 998 =
  21. 21.41221 ÷ 96 =
  22. 22.374704 ÷ 988 =
  23. 23.96396 ÷ 88 =
  24. 24.22111 ÷ 89 =
  25. 25.60503 ÷ 89 =
  26. 26.812567 ÷ 997 =
  27. 27.45542 ÷ 96 =
  28. 28.753359 ÷ 897 =
  29. 29.92133 ÷ 89 =
  30. 30.71797 ÷ 89 =
  31. 31.619542 ÷ 988 =
  32. 32.78040 ÷ 89 =
  33. 33.510900 ÷ 998 =
  34. 34.25732 ÷ 97 =
  35. 35.974 ÷ 8 =
  36. 36.592950 ÷ 989 =
  37. 37.607195 ÷ 998 =
  38. 38.8537 ÷ 8 =
  39. 39.55174 ÷ 89 =
  40. 40.455376 ÷ 897 =

Answer key

  1. 869 rem 87
  2. 781 rem 89
  3. 391 rem 0
  4. 794 rem 186
  5. 133 rem 812
  6. 949 rem 54
  7. 733 rem 887
  8. 195 rem 728
  9. 111 rem 698
  10. 963 rem 519
  11. 744 rem 82
  12. 460 rem 809
  13. 420 rem 16
  14. 538 rem 337
  15. 93 rem 700
  16. 170 rem 68
  17. 278 rem 69
  18. 445 rem 529
  19. 236 rem 402
  20. 186 rem 547
  21. 429 rem 37
  22. 379 rem 252
  23. 1095 rem 36
  24. 248 rem 39
  25. 679 rem 72
  26. 815 rem 12
  27. 474 rem 38
  28. 839 rem 776
  29. 1035 rem 18
  30. 806 rem 63
  31. 627 rem 66
  32. 876 rem 76
  33. 511 rem 922
  34. 265 rem 27
  35. 121 rem 6
  36. 599 rem 539
  37. 608 rem 411
  38. 1067 rem 1
  39. 619 rem 83
  40. 507 rem 597

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