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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 432 · 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. 1.894847 ÷ 988 =
  2. 2.19806 ÷ 98 =
  3. 3.79468 ÷ 96 =
  4. 4.40798 ÷ 98 =
  5. 5.35711 ÷ 897 =
  6. 6.376009 ÷ 897 =
  7. 7.169105 ÷ 989 =
  8. 8.47508 ÷ 88 =
  9. 9.1878 ÷ 8 =
  10. 10.268019 ÷ 989 =
  11. 11.251604 ÷ 998 =
  12. 12.992513 ÷ 989 =
  13. 13.58271 ÷ 98 =
  14. 14.59877 ÷ 96 =
  15. 15.40144 ÷ 97 =
  16. 16.2051 ÷ 96 =
  17. 17.696713 ÷ 897 =
  18. 18.332575 ÷ 897 =
  19. 19.5801 ÷ 8 =
  20. 20.232343 ÷ 988 =
  21. 21.468039 ÷ 998 =
  22. 22.37062 ÷ 88 =
  23. 23.5611 ÷ 8 =
  24. 24.534491 ÷ 989 =
  25. 25.200250 ÷ 989 =
  26. 26.7241 ÷ 8 =
  27. 27.364861 ÷ 989 =
  28. 28.972432 ÷ 988 =
  29. 29.197181 ÷ 998 =
  30. 30.22725 ÷ 89 =
  31. 31.62391 ÷ 88 =
  32. 32.61814 ÷ 89 =
  33. 33.3470 ÷ 88 =
  34. 34.401881 ÷ 988 =
  35. 35.69546 ÷ 89 =
  36. 36.612269 ÷ 988 =
  37. 37.64575 ÷ 88 =
  38. 38.187507 ÷ 897 =
  39. 39.59675 ÷ 88 =
  40. 40.60275 ÷ 96 =

Answer key

  1. 905 rem 707
  2. 202 rem 10
  3. 827 rem 76
  4. 416 rem 30
  5. 39 rem 728
  6. 419 rem 166
  7. 170 rem 975
  8. 539 rem 76
  9. 234 rem 6
  10. 271 rem 0
  11. 252 rem 108
  12. 1003 rem 546
  13. 594 rem 59
  14. 623 rem 69
  15. 413 rem 83
  16. 21 rem 35
  17. 776 rem 641
  18. 370 rem 685
  19. 725 rem 1
  20. 235 rem 163
  21. 468 rem 975
  22. 421 rem 14
  23. 701 rem 3
  24. 540 rem 431
  25. 202 rem 472
  26. 905 rem 1
  27. 368 rem 909
  28. 984 rem 240
  29. 197 rem 575
  30. 255 rem 30
  31. 708 rem 87
  32. 694 rem 48
  33. 39 rem 38
  34. 406 rem 753
  35. 781 rem 37
  36. 619 rem 697
  37. 733 rem 71
  38. 209 rem 34
  39. 678 rem 11
  40. 627 rem 83

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