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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 160 · 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. 1.55079 ÷ 98 =
  2. 2.710 ÷ 8 =
  3. 3.879669 ÷ 897 =
  4. 4.91723 ÷ 988 =
  5. 5.380648 ÷ 988 =
  6. 6.54748 ÷ 98 =
  7. 7.190562 ÷ 998 =
  8. 8.659833 ÷ 897 =
  9. 9.983115 ÷ 988 =
  10. 10.26100 ÷ 897 =
  11. 11.5154 ÷ 8 =
  12. 12.14785 ÷ 97 =
  13. 13.70677 ÷ 98 =
  14. 14.495226 ÷ 897 =
  15. 15.941773 ÷ 998 =
  16. 16.450902 ÷ 997 =
  17. 17.823977 ÷ 897 =
  18. 18.53002 ÷ 89 =
  19. 19.854918 ÷ 988 =
  20. 20.4453 ÷ 8 =
  21. 21.132214 ÷ 988 =
  22. 22.17421 ÷ 96 =
  23. 23.28705 ÷ 96 =
  24. 24.14077 ÷ 88 =
  25. 25.73661 ÷ 97 =
  26. 26.97450 ÷ 98 =
  27. 27.80396 ÷ 89 =
  28. 28.46617 ÷ 98 =
  29. 29.90086 ÷ 88 =
  30. 30.20736 ÷ 96 =
  31. 31.94818 ÷ 89 =
  32. 32.5646 ÷ 98 =
  33. 33.13145 ÷ 89 =
  34. 34.98841 ÷ 98 =
  35. 35.53215 ÷ 96 =
  36. 36.34083 ÷ 89 =
  37. 37.757203 ÷ 989 =
  38. 38.5350 ÷ 8 =
  39. 39.98835 ÷ 89 =
  40. 40.37624 ÷ 98 =

Answer key

  1. 562 rem 3
  2. 88 rem 6
  3. 980 rem 609
  4. 92 rem 827
  5. 385 rem 268
  6. 558 rem 64
  7. 190 rem 942
  8. 735 rem 538
  9. 995 rem 55
  10. 29 rem 87
  11. 644 rem 2
  12. 152 rem 41
  13. 721 rem 19
  14. 552 rem 82
  15. 943 rem 659
  16. 452 rem 258
  17. 918 rem 531
  18. 595 rem 47
  19. 865 rem 298
  20. 556 rem 5
  21. 133 rem 810
  22. 181 rem 45
  23. 299 rem 1
  24. 159 rem 85
  25. 759 rem 38
  26. 994 rem 38
  27. 903 rem 29
  28. 475 rem 67
  29. 1023 rem 62
  30. 216 rem 0
  31. 1065 rem 33
  32. 57 rem 60
  33. 147 rem 62
  34. 1008 rem 57
  35. 554 rem 31
  36. 382 rem 85
  37. 765 rem 618
  38. 668 rem 6
  39. 1110 rem 45
  40. 383 rem 90

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