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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 32 · 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. 1.305213 ÷ 998 =
  2. 2.6252 ÷ 8 =
  3. 3.175480 ÷ 897 =
  4. 4.79505 ÷ 88 =
  5. 5.621997 ÷ 897 =
  6. 6.156995 ÷ 997 =
  7. 7.9226 ÷ 8 =
  8. 8.998913 ÷ 988 =
  9. 9.414960 ÷ 989 =
  10. 10.44050 ÷ 98 =
  11. 11.70208 ÷ 97 =
  12. 12.84160 ÷ 89 =
  13. 13.243672 ÷ 988 =
  14. 14.217289 ÷ 998 =
  15. 15.120697 ÷ 897 =
  16. 16.450991 ÷ 997 =
  17. 17.953484 ÷ 997 =
  18. 18.90891 ÷ 997 =
  19. 19.51719 ÷ 88 =
  20. 20.91670 ÷ 97 =
  21. 21.537325 ÷ 998 =
  22. 22.59903 ÷ 989 =
  23. 23.10588 ÷ 88 =
  24. 24.361116 ÷ 998 =
  25. 25.80943 ÷ 88 =
  26. 26.172241 ÷ 897 =
  27. 27.92227 ÷ 89 =
  28. 28.723 ÷ 8 =
  29. 29.176161 ÷ 997 =
  30. 30.2234 ÷ 8 =
  31. 31.23507 ÷ 998 =
  32. 32.735333 ÷ 897 =
  33. 33.903200 ÷ 897 =
  34. 34.605331 ÷ 998 =
  35. 35.933670 ÷ 989 =
  36. 36.49716 ÷ 88 =
  37. 37.2522 ÷ 96 =
  38. 38.19941 ÷ 97 =
  39. 39.2952 ÷ 88 =
  40. 40.55427 ÷ 89 =

Answer key

  1. 305 rem 823
  2. 781 rem 4
  3. 195 rem 565
  4. 903 rem 41
  5. 693 rem 376
  6. 157 rem 466
  7. 1153 rem 2
  8. 1011 rem 45
  9. 419 rem 569
  10. 449 rem 48
  11. 723 rem 77
  12. 945 rem 55
  13. 246 rem 624
  14. 217 rem 723
  15. 134 rem 499
  16. 452 rem 347
  17. 956 rem 352
  18. 91 rem 164
  19. 587 rem 63
  20. 945 rem 5
  21. 538 rem 401
  22. 60 rem 563
  23. 120 rem 28
  24. 361 rem 838
  25. 919 rem 71
  26. 192 rem 17
  27. 1036 rem 23
  28. 90 rem 3
  29. 176 rem 689
  30. 279 rem 2
  31. 23 rem 553
  32. 819 rem 690
  33. 1006 rem 818
  34. 606 rem 543
  35. 944 rem 54
  36. 564 rem 84
  37. 26 rem 26
  38. 205 rem 56
  39. 33 rem 48
  40. 622 rem 69

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