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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 83 · 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. 1.1993 ÷ 8 =
  2. 2.32188 ÷ 96 =
  3. 3.53383 ÷ 89 =
  4. 4.80086 ÷ 97 =
  5. 5.29014 ÷ 98 =
  6. 6.82589 ÷ 88 =
  7. 7.67682 ÷ 97 =
  8. 8.54937 ÷ 88 =
  9. 9.62082 ÷ 98 =
  10. 10.682382 ÷ 989 =
  11. 11.128751 ÷ 897 =
  12. 12.91997 ÷ 88 =
  13. 13.65516 ÷ 88 =
  14. 14.63536 ÷ 88 =
  15. 15.339849 ÷ 897 =
  16. 16.89963 ÷ 89 =
  17. 17.7234 ÷ 96 =
  18. 18.85230 ÷ 96 =
  19. 19.17568 ÷ 88 =
  20. 20.286218 ÷ 998 =
  21. 21.5108 ÷ 8 =
  22. 22.5732 ÷ 8 =
  23. 23.28895 ÷ 96 =
  24. 24.41196 ÷ 89 =
  25. 25.95143 ÷ 96 =
  26. 26.257824 ÷ 997 =
  27. 27.368140 ÷ 897 =
  28. 28.661245 ÷ 998 =
  29. 29.80342 ÷ 96 =
  30. 30.960281 ÷ 897 =
  31. 31.94433 ÷ 88 =
  32. 32.13533 ÷ 96 =
  33. 33.404477 ÷ 989 =
  34. 34.198811 ÷ 997 =
  35. 35.29164 ÷ 97 =
  36. 36.147827 ÷ 989 =
  37. 37.46014 ÷ 997 =
  38. 38.95905 ÷ 88 =
  39. 39.18330 ÷ 997 =
  40. 40.7547 ÷ 98 =

Answer key

  1. 249 rem 1
  2. 335 rem 28
  3. 599 rem 72
  4. 825 rem 61
  5. 296 rem 6
  6. 938 rem 45
  7. 697 rem 73
  8. 624 rem 25
  9. 633 rem 48
  10. 689 rem 961
  11. 143 rem 480
  12. 1045 rem 37
  13. 744 rem 44
  14. 722 rem 0
  15. 378 rem 783
  16. 1010 rem 73
  17. 75 rem 34
  18. 887 rem 78
  19. 199 rem 56
  20. 286 rem 790
  21. 638 rem 4
  22. 716 rem 4
  23. 300 rem 95
  24. 462 rem 78
  25. 991 rem 7
  26. 258 rem 598
  27. 410 rem 370
  28. 662 rem 569
  29. 836 rem 86
  30. 1070 rem 491
  31. 1073 rem 9
  32. 140 rem 93
  33. 408 rem 965
  34. 199 rem 408
  35. 300 rem 64
  36. 149 rem 466
  37. 46 rem 152
  38. 1089 rem 73
  39. 18 rem 384
  40. 77 rem 1

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