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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 939 · 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. 1.73555 ÷ 98 =
  2. 2.3737 ÷ 89 =
  3. 3.7456 ÷ 8 =
  4. 4.9377 ÷ 89 =
  5. 5.714368 ÷ 989 =
  6. 6.538006 ÷ 997 =
  7. 7.211724 ÷ 897 =
  8. 8.4084 ÷ 8 =
  9. 9.56014 ÷ 88 =
  10. 10.663617 ÷ 998 =
  11. 11.91556 ÷ 89 =
  12. 12.55603 ÷ 97 =
  13. 13.572456 ÷ 989 =
  14. 14.72960 ÷ 97 =
  15. 15.573736 ÷ 998 =
  16. 16.64372 ÷ 96 =
  17. 17.690249 ÷ 997 =
  18. 18.552158 ÷ 988 =
  19. 19.85691 ÷ 96 =
  20. 20.92834 ÷ 997 =
  21. 21.671248 ÷ 998 =
  22. 22.90496 ÷ 88 =
  23. 23.149181 ÷ 989 =
  24. 24.77983 ÷ 96 =
  25. 25.240148 ÷ 989 =
  26. 26.122427 ÷ 997 =
  27. 27.29391 ÷ 89 =
  28. 28.375122 ÷ 997 =
  29. 29.5030 ÷ 8 =
  30. 30.34778 ÷ 97 =
  31. 31.551233 ÷ 988 =
  32. 32.9147 ÷ 88 =
  33. 33.576143 ÷ 897 =
  34. 34.702125 ÷ 989 =
  35. 35.43998 ÷ 96 =
  36. 36.246094 ÷ 897 =
  37. 37.52314 ÷ 96 =
  38. 38.86966 ÷ 97 =
  39. 39.907466 ÷ 997 =
  40. 40.75812 ÷ 989 =

Answer key

  1. 750 rem 55
  2. 41 rem 88
  3. 932 rem 0
  4. 105 rem 32
  5. 722 rem 310
  6. 539 rem 623
  7. 236 rem 32
  8. 510 rem 4
  9. 636 rem 46
  10. 664 rem 945
  11. 1028 rem 64
  12. 573 rem 22
  13. 578 rem 814
  14. 752 rem 16
  15. 574 rem 884
  16. 670 rem 52
  17. 692 rem 325
  18. 558 rem 854
  19. 892 rem 59
  20. 93 rem 113
  21. 672 rem 592
  22. 1028 rem 32
  23. 150 rem 831
  24. 812 rem 31
  25. 242 rem 810
  26. 122 rem 793
  27. 330 rem 21
  28. 376 rem 250
  29. 628 rem 6
  30. 358 rem 52
  31. 557 rem 917
  32. 103 rem 83
  33. 642 rem 269
  34. 709 rem 924
  35. 458 rem 30
  36. 274 rem 316
  37. 544 rem 90
  38. 896 rem 54
  39. 910 rem 196
  40. 76 rem 648

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