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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 332 · 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. 1.91124 ÷ 98 =
  2. 2.51749 ÷ 96 =
  3. 3.534305 ÷ 989 =
  4. 4.44957 ÷ 97 =
  5. 5.107932 ÷ 988 =
  6. 6.561858 ÷ 989 =
  7. 7.712864 ÷ 988 =
  8. 8.25666 ÷ 897 =
  9. 9.294750 ÷ 997 =
  10. 10.265182 ÷ 897 =
  11. 11.94666 ÷ 97 =
  12. 12.698816 ÷ 998 =
  13. 13.869496 ÷ 989 =
  14. 14.218519 ÷ 997 =
  15. 15.29130 ÷ 89 =
  16. 16.220669 ÷ 998 =
  17. 17.16661 ÷ 88 =
  18. 18.8492 ÷ 97 =
  19. 19.67661 ÷ 98 =
  20. 20.236658 ÷ 988 =
  21. 21.256386 ÷ 988 =
  22. 22.41256 ÷ 96 =
  23. 23.756644 ÷ 997 =
  24. 24.619339 ÷ 989 =
  25. 25.827204 ÷ 988 =
  26. 26.706413 ÷ 998 =
  27. 27.7417 ÷ 8 =
  28. 28.97425 ÷ 97 =
  29. 29.686136 ÷ 988 =
  30. 30.712883 ÷ 988 =
  31. 31.762728 ÷ 997 =
  32. 32.4657 ÷ 97 =
  33. 33.652762 ÷ 897 =
  34. 34.46447 ÷ 96 =
  35. 35.1463 ÷ 8 =
  36. 36.29084 ÷ 98 =
  37. 37.9683 ÷ 8 =
  38. 38.670839 ÷ 989 =
  39. 39.30846 ÷ 88 =
  40. 40.89325 ÷ 89 =

Answer key

  1. 929 rem 82
  2. 539 rem 5
  3. 540 rem 245
  4. 463 rem 46
  5. 109 rem 240
  6. 568 rem 106
  7. 721 rem 516
  8. 28 rem 550
  9. 295 rem 635
  10. 295 rem 567
  11. 975 rem 91
  12. 700 rem 216
  13. 879 rem 165
  14. 219 rem 176
  15. 327 rem 27
  16. 221 rem 111
  17. 189 rem 29
  18. 87 rem 53
  19. 690 rem 41
  20. 239 rem 526
  21. 259 rem 494
  22. 429 rem 72
  23. 758 rem 918
  24. 626 rem 225
  25. 837 rem 248
  26. 707 rem 827
  27. 927 rem 1
  28. 1004 rem 37
  29. 694 rem 464
  30. 721 rem 535
  31. 765 rem 23
  32. 48 rem 1
  33. 727 rem 643
  34. 483 rem 79
  35. 182 rem 7
  36. 296 rem 76
  37. 1210 rem 3
  38. 678 rem 297
  39. 350 rem 46
  40. 1003 rem 58

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