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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 585 · 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. 1.17767 ÷ 88 =
  2. 2.12977 ÷ 97 =
  3. 3.806608 ÷ 989 =
  4. 4.403289 ÷ 989 =
  5. 5.599803 ÷ 997 =
  6. 6.222727 ÷ 997 =
  7. 7.77922 ÷ 97 =
  8. 8.109002 ÷ 989 =
  9. 9.873422 ÷ 897 =
  10. 10.239381 ÷ 998 =
  11. 11.30365 ÷ 88 =
  12. 12.67946 ÷ 96 =
  13. 13.24836 ÷ 97 =
  14. 14.21600 ÷ 97 =
  15. 15.3757 ÷ 8 =
  16. 16.37523 ÷ 96 =
  17. 17.392983 ÷ 989 =
  18. 18.5943 ÷ 8 =
  19. 19.89429 ÷ 89 =
  20. 20.454377 ÷ 997 =
  21. 21.38351 ÷ 97 =
  22. 22.346532 ÷ 989 =
  23. 23.34485 ÷ 96 =
  24. 24.306361 ÷ 998 =
  25. 25.651351 ÷ 988 =
  26. 26.353588 ÷ 997 =
  27. 27.19440 ÷ 98 =
  28. 28.145205 ÷ 897 =
  29. 29.48066 ÷ 97 =
  30. 30.203346 ÷ 998 =
  31. 31.487784 ÷ 988 =
  32. 32.145863 ÷ 997 =
  33. 33.83016 ÷ 98 =
  34. 34.68601 ÷ 98 =
  35. 35.57949 ÷ 98 =
  36. 36.313334 ÷ 989 =
  37. 37.330962 ÷ 997 =
  38. 38.64999 ÷ 97 =
  39. 39.394700 ÷ 897 =
  40. 40.851930 ÷ 988 =

Answer key

  1. 201 rem 79
  2. 133 rem 76
  3. 815 rem 573
  4. 407 rem 766
  5. 601 rem 606
  6. 223 rem 396
  7. 803 rem 31
  8. 110 rem 212
  9. 973 rem 641
  10. 239 rem 859
  11. 345 rem 5
  12. 707 rem 74
  13. 256 rem 4
  14. 222 rem 66
  15. 469 rem 5
  16. 390 rem 83
  17. 397 rem 350
  18. 742 rem 7
  19. 1004 rem 73
  20. 455 rem 742
  21. 395 rem 36
  22. 350 rem 382
  23. 359 rem 21
  24. 306 rem 973
  25. 659 rem 259
  26. 354 rem 650
  27. 198 rem 36
  28. 161 rem 788
  29. 495 rem 51
  30. 203 rem 752
  31. 493 rem 700
  32. 146 rem 301
  33. 847 rem 10
  34. 700 rem 1
  35. 591 rem 31
  36. 316 rem 810
  37. 331 rem 955
  38. 670 rem 9
  39. 440 rem 20
  40. 862 rem 274

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