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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 916 · 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. 1.19411 ÷ 98 =
  2. 2.179212 ÷ 989 =
  3. 3.67116 ÷ 97 =
  4. 4.1932 ÷ 88 =
  5. 5.469301 ÷ 897 =
  6. 6.404101 ÷ 997 =
  7. 7.1097 ÷ 8 =
  8. 8.307144 ÷ 998 =
  9. 9.17253 ÷ 988 =
  10. 10.82415 ÷ 96 =
  11. 11.434555 ÷ 998 =
  12. 12.5948 ÷ 88 =
  13. 13.276150 ÷ 997 =
  14. 14.8463 ÷ 8 =
  15. 15.625025 ÷ 989 =
  16. 16.44187 ÷ 97 =
  17. 17.29609 ÷ 96 =
  18. 18.772346 ÷ 997 =
  19. 19.75418 ÷ 97 =
  20. 20.56628 ÷ 98 =
  21. 21.48907 ÷ 96 =
  22. 22.8210 ÷ 89 =
  23. 23.78276 ÷ 88 =
  24. 24.177610 ÷ 998 =
  25. 25.54356 ÷ 88 =
  26. 26.45081 ÷ 98 =
  27. 27.249096 ÷ 988 =
  28. 28.86636 ÷ 997 =
  29. 29.491937 ÷ 997 =
  30. 30.13799 ÷ 97 =
  31. 31.429998 ÷ 989 =
  32. 32.453030 ÷ 988 =
  33. 33.16548 ÷ 89 =
  34. 34.65156 ÷ 96 =
  35. 35.716733 ÷ 998 =
  36. 36.58548 ÷ 997 =
  37. 37.820916 ÷ 989 =
  38. 38.66669 ÷ 997 =
  39. 39.81364 ÷ 97 =
  40. 40.940259 ÷ 897 =

Answer key

  1. 198 rem 7
  2. 181 rem 203
  3. 691 rem 89
  4. 21 rem 84
  5. 523 rem 170
  6. 405 rem 316
  7. 137 rem 1
  8. 307 rem 758
  9. 17 rem 457
  10. 858 rem 47
  11. 435 rem 425
  12. 67 rem 52
  13. 276 rem 978
  14. 1057 rem 7
  15. 631 rem 966
  16. 455 rem 52
  17. 308 rem 41
  18. 774 rem 668
  19. 777 rem 49
  20. 577 rem 82
  21. 509 rem 43
  22. 92 rem 22
  23. 889 rem 44
  24. 177 rem 964
  25. 617 rem 60
  26. 460 rem 1
  27. 252 rem 120
  28. 86 rem 894
  29. 493 rem 416
  30. 142 rem 25
  31. 434 rem 772
  32. 458 rem 526
  33. 185 rem 83
  34. 678 rem 68
  35. 718 rem 169
  36. 58 rem 722
  37. 830 rem 46
  38. 66 rem 867
  39. 838 rem 78
  40. 1048 rem 203

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