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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 845 · 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. 1.22244 ÷ 98 =
  2. 2.125560 ÷ 997 =
  3. 3.364967 ÷ 989 =
  4. 4.29884 ÷ 98 =
  5. 5.6049 ÷ 8 =
  6. 6.165853 ÷ 989 =
  7. 7.31525 ÷ 96 =
  8. 8.37243 ÷ 989 =
  9. 9.709202 ÷ 997 =
  10. 10.932199 ÷ 988 =
  11. 11.87440 ÷ 96 =
  12. 12.713986 ÷ 988 =
  13. 13.69035 ÷ 997 =
  14. 14.24798 ÷ 98 =
  15. 15.643865 ÷ 998 =
  16. 16.4944 ÷ 96 =
  17. 17.64569 ÷ 88 =
  18. 18.59831 ÷ 97 =
  19. 19.47149 ÷ 88 =
  20. 20.30045 ÷ 88 =
  21. 21.875971 ÷ 998 =
  22. 22.32559 ÷ 98 =
  23. 23.80880 ÷ 98 =
  24. 24.652304 ÷ 998 =
  25. 25.619622 ÷ 897 =
  26. 26.731091 ÷ 998 =
  27. 27.15703 ÷ 98 =
  28. 28.43936 ÷ 88 =
  29. 29.621583 ÷ 998 =
  30. 30.394853 ÷ 997 =
  31. 31.145590 ÷ 997 =
  32. 32.19947 ÷ 988 =
  33. 33.14049 ÷ 96 =
  34. 34.66755 ÷ 98 =
  35. 35.13207 ÷ 97 =
  36. 36.250038 ÷ 997 =
  37. 37.74361 ÷ 89 =
  38. 38.730577 ÷ 997 =
  39. 39.1780 ÷ 98 =
  40. 40.32289 ÷ 96 =

Answer key

  1. 226 rem 96
  2. 125 rem 935
  3. 369 rem 26
  4. 304 rem 92
  5. 756 rem 1
  6. 167 rem 690
  7. 328 rem 37
  8. 37 rem 650
  9. 711 rem 335
  10. 943 rem 515
  11. 910 rem 80
  12. 722 rem 650
  13. 69 rem 242
  14. 253 rem 4
  15. 645 rem 155
  16. 51 rem 48
  17. 733 rem 65
  18. 616 rem 79
  19. 535 rem 69
  20. 341 rem 37
  21. 877 rem 725
  22. 332 rem 23
  23. 825 rem 30
  24. 653 rem 610
  25. 690 rem 692
  26. 732 rem 555
  27. 160 rem 23
  28. 499 rem 24
  29. 622 rem 827
  30. 396 rem 41
  31. 146 rem 28
  32. 20 rem 187
  33. 146 rem 33
  34. 681 rem 17
  35. 136 rem 15
  36. 250 rem 788
  37. 835 rem 46
  38. 732 rem 773
  39. 18 rem 16
  40. 336 rem 33

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