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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 857 · 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. 1.24639 ÷ 998 =
  2. 2.72121 ÷ 89 =
  3. 3.84488 ÷ 998 =
  4. 4.88111 ÷ 89 =
  5. 5.10386 ÷ 96 =
  6. 6.54991 ÷ 96 =
  7. 7.696664 ÷ 897 =
  8. 8.39136 ÷ 98 =
  9. 9.65051 ÷ 89 =
  10. 10.82720 ÷ 89 =
  11. 11.719101 ÷ 988 =
  12. 12.21402 ÷ 88 =
  13. 13.331006 ÷ 989 =
  14. 14.47798 ÷ 89 =
  15. 15.6024 ÷ 8 =
  16. 16.15812 ÷ 97 =
  17. 17.64885 ÷ 88 =
  18. 18.6246 ÷ 8 =
  19. 19.297009 ÷ 989 =
  20. 20.52317 ÷ 89 =
  21. 21.485889 ÷ 997 =
  22. 22.97817 ÷ 998 =
  23. 23.11235 ÷ 998 =
  24. 24.32914 ÷ 988 =
  25. 25.754647 ÷ 897 =
  26. 26.790089 ÷ 998 =
  27. 27.386180 ÷ 989 =
  28. 28.397 ÷ 8 =
  29. 29.70726 ÷ 98 =
  30. 30.713271 ÷ 998 =
  31. 31.39822 ÷ 89 =
  32. 32.39496 ÷ 89 =
  33. 33.3956 ÷ 89 =
  34. 34.99195 ÷ 96 =
  35. 35.7339 ÷ 8 =
  36. 36.668429 ÷ 897 =
  37. 37.74851 ÷ 89 =
  38. 38.227161 ÷ 998 =
  39. 39.48429 ÷ 998 =
  40. 40.19302 ÷ 98 =

Answer key

  1. 24 rem 687
  2. 810 rem 31
  3. 84 rem 656
  4. 990 rem 1
  5. 108 rem 18
  6. 572 rem 79
  7. 776 rem 592
  8. 399 rem 34
  9. 730 rem 81
  10. 929 rem 39
  11. 727 rem 825
  12. 243 rem 18
  13. 334 rem 680
  14. 537 rem 5
  15. 753 rem 0
  16. 163 rem 1
  17. 737 rem 29
  18. 780 rem 6
  19. 300 rem 309
  20. 587 rem 74
  21. 487 rem 350
  22. 98 rem 13
  23. 11 rem 257
  24. 33 rem 310
  25. 841 rem 270
  26. 791 rem 671
  27. 390 rem 470
  28. 49 rem 5
  29. 721 rem 68
  30. 714 rem 699
  31. 447 rem 39
  32. 443 rem 69
  33. 44 rem 40
  34. 1033 rem 27
  35. 917 rem 3
  36. 745 rem 164
  37. 841 rem 2
  38. 227 rem 615
  39. 48 rem 525
  40. 196 rem 94

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