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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 579 · 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. 1.859926 ÷ 997 =
  2. 2.258180 ÷ 897 =
  3. 3.29363 ÷ 89 =
  4. 4.6291 ÷ 97 =
  5. 5.79287 ÷ 89 =
  6. 6.7597 ÷ 8 =
  7. 7.71051 ÷ 897 =
  8. 8.55299 ÷ 98 =
  9. 9.7915 ÷ 8 =
  10. 10.98926 ÷ 96 =
  11. 11.37973 ÷ 998 =
  12. 12.35666 ÷ 96 =
  13. 13.126306 ÷ 989 =
  14. 14.259060 ÷ 897 =
  15. 15.93959 ÷ 97 =
  16. 16.977340 ÷ 998 =
  17. 17.1995 ÷ 96 =
  18. 18.3229 ÷ 8 =
  19. 19.74386 ÷ 98 =
  20. 20.132741 ÷ 998 =
  21. 21.8318 ÷ 8 =
  22. 22.61626 ÷ 98 =
  23. 23.114320 ÷ 997 =
  24. 24.16365 ÷ 98 =
  25. 25.769 ÷ 8 =
  26. 26.204957 ÷ 998 =
  27. 27.46281 ÷ 96 =
  28. 28.914 ÷ 8 =
  29. 29.56821 ÷ 997 =
  30. 30.235691 ÷ 988 =
  31. 31.845714 ÷ 997 =
  32. 32.7219 ÷ 8 =
  33. 33.561912 ÷ 988 =
  34. 34.460074 ÷ 988 =
  35. 35.86223 ÷ 97 =
  36. 36.587888 ÷ 997 =
  37. 37.94584 ÷ 98 =
  38. 38.55960 ÷ 89 =
  39. 39.2324 ÷ 97 =
  40. 40.749779 ÷ 988 =

Answer key

  1. 862 rem 512
  2. 287 rem 741
  3. 329 rem 82
  4. 64 rem 83
  5. 890 rem 77
  6. 949 rem 5
  7. 79 rem 188
  8. 564 rem 27
  9. 989 rem 3
  10. 1030 rem 46
  11. 38 rem 49
  12. 371 rem 50
  13. 127 rem 703
  14. 288 rem 724
  15. 968 rem 63
  16. 979 rem 298
  17. 20 rem 75
  18. 403 rem 5
  19. 759 rem 4
  20. 133 rem 7
  21. 1039 rem 6
  22. 628 rem 82
  23. 114 rem 662
  24. 166 rem 97
  25. 96 rem 1
  26. 205 rem 367
  27. 482 rem 9
  28. 114 rem 2
  29. 56 rem 989
  30. 238 rem 547
  31. 848 rem 258
  32. 902 rem 3
  33. 568 rem 728
  34. 465 rem 654
  35. 888 rem 87
  36. 589 rem 655
  37. 965 rem 14
  38. 628 rem 68
  39. 23 rem 93
  40. 758 rem 875

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