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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 215 · 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. 1.93475 ÷ 96 =
  2. 2.605631 ÷ 989 =
  3. 3.101171 ÷ 897 =
  4. 4.30197 ÷ 88 =
  5. 5.6115 ÷ 8 =
  6. 6.16528 ÷ 98 =
  7. 7.11168 ÷ 98 =
  8. 8.5347 ÷ 8 =
  9. 9.72294 ÷ 96 =
  10. 10.205459 ÷ 997 =
  11. 11.16537 ÷ 96 =
  12. 12.66306 ÷ 98 =
  13. 13.318819 ÷ 998 =
  14. 14.88475 ÷ 998 =
  15. 15.70670 ÷ 97 =
  16. 16.815668 ÷ 997 =
  17. 17.161946 ÷ 989 =
  18. 18.652629 ÷ 997 =
  19. 19.885752 ÷ 998 =
  20. 20.89825 ÷ 96 =
  21. 21.411284 ÷ 988 =
  22. 22.2820 ÷ 8 =
  23. 23.97378 ÷ 98 =
  24. 24.13688 ÷ 97 =
  25. 25.82912 ÷ 89 =
  26. 26.983558 ÷ 997 =
  27. 27.84118 ÷ 97 =
  28. 28.749899 ÷ 998 =
  29. 29.469057 ÷ 997 =
  30. 30.72353 ÷ 88 =
  31. 31.2505 ÷ 8 =
  32. 32.669486 ÷ 988 =
  33. 33.4314 ÷ 8 =
  34. 34.14168 ÷ 98 =
  35. 35.493135 ÷ 989 =
  36. 36.86394 ÷ 96 =
  37. 37.2116 ÷ 8 =
  38. 38.616131 ÷ 988 =
  39. 39.426198 ÷ 989 =
  40. 40.8124 ÷ 8 =

Answer key

  1. 973 rem 67
  2. 612 rem 363
  3. 112 rem 707
  4. 343 rem 13
  5. 764 rem 3
  6. 168 rem 64
  7. 113 rem 94
  8. 668 rem 3
  9. 753 rem 6
  10. 206 rem 77
  11. 172 rem 25
  12. 676 rem 58
  13. 319 rem 457
  14. 88 rem 651
  15. 728 rem 54
  16. 818 rem 122
  17. 163 rem 739
  18. 654 rem 591
  19. 887 rem 526
  20. 935 rem 65
  21. 416 rem 276
  22. 352 rem 4
  23. 993 rem 64
  24. 141 rem 11
  25. 931 rem 53
  26. 986 rem 516
  27. 867 rem 19
  28. 751 rem 401
  29. 470 rem 467
  30. 822 rem 17
  31. 313 rem 1
  32. 677 rem 610
  33. 539 rem 2
  34. 144 rem 56
  35. 498 rem 613
  36. 899 rem 90
  37. 264 rem 4
  38. 623 rem 607
  39. 430 rem 928
  40. 1015 rem 4

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