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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 546 · 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. 1.44837 ÷ 98 =
  2. 2.3272 ÷ 8 =
  3. 3.70779 ÷ 89 =
  4. 4.38642 ÷ 97 =
  5. 5.554644 ÷ 988 =
  6. 6.37816 ÷ 96 =
  7. 7.66473 ÷ 89 =
  8. 8.249402 ÷ 989 =
  9. 9.751356 ÷ 998 =
  10. 10.2447 ÷ 8 =
  11. 11.15375 ÷ 98 =
  12. 12.9133 ÷ 8 =
  13. 13.413885 ÷ 989 =
  14. 14.491707 ÷ 998 =
  15. 15.230341 ÷ 998 =
  16. 16.35063 ÷ 97 =
  17. 17.686718 ÷ 998 =
  18. 18.557443 ÷ 988 =
  19. 19.427334 ÷ 989 =
  20. 20.417733 ÷ 998 =
  21. 21.158915 ÷ 998 =
  22. 22.267285 ÷ 998 =
  23. 23.793116 ÷ 998 =
  24. 24.53051 ÷ 98 =
  25. 25.31478 ÷ 988 =
  26. 26.8121 ÷ 98 =
  27. 27.24931 ÷ 89 =
  28. 28.807271 ÷ 988 =
  29. 29.116977 ÷ 988 =
  30. 30.381153 ÷ 988 =
  31. 31.702430 ÷ 897 =
  32. 32.641524 ÷ 988 =
  33. 33.1707 ÷ 8 =
  34. 34.86852 ÷ 89 =
  35. 35.985020 ÷ 997 =
  36. 36.95526 ÷ 88 =
  37. 37.667074 ÷ 988 =
  38. 38.618852 ÷ 989 =
  39. 39.731720 ÷ 997 =
  40. 40.43323 ÷ 96 =

Answer key

  1. 457 rem 51
  2. 409 rem 0
  3. 795 rem 24
  4. 398 rem 36
  5. 561 rem 376
  6. 393 rem 88
  7. 746 rem 79
  8. 252 rem 174
  9. 752 rem 860
  10. 305 rem 7
  11. 156 rem 87
  12. 1141 rem 5
  13. 418 rem 483
  14. 492 rem 691
  15. 230 rem 801
  16. 361 rem 46
  17. 688 rem 94
  18. 564 rem 211
  19. 432 rem 86
  20. 418 rem 569
  21. 159 rem 233
  22. 267 rem 819
  23. 794 rem 704
  24. 541 rem 33
  25. 31 rem 850
  26. 82 rem 85
  27. 280 rem 11
  28. 817 rem 75
  29. 118 rem 393
  30. 385 rem 773
  31. 783 rem 79
  32. 649 rem 312
  33. 213 rem 3
  34. 975 rem 77
  35. 987 rem 981
  36. 1085 rem 46
  37. 675 rem 174
  38. 625 rem 727
  39. 733 rem 919
  40. 451 rem 27

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