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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 576 · 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. 1.8982 ÷ 89 =
  2. 2.2846 ÷ 8 =
  3. 3.169617 ÷ 997 =
  4. 4.71059 ÷ 96 =
  5. 5.787431 ÷ 988 =
  6. 6.104958 ÷ 998 =
  7. 7.24584 ÷ 97 =
  8. 8.377007 ÷ 897 =
  9. 9.13560 ÷ 897 =
  10. 10.483865 ÷ 997 =
  11. 11.148149 ÷ 988 =
  12. 12.24657 ÷ 97 =
  13. 13.25610 ÷ 97 =
  14. 14.5687 ÷ 98 =
  15. 15.63446 ÷ 96 =
  16. 16.33487 ÷ 89 =
  17. 17.98807 ÷ 88 =
  18. 18.105609 ÷ 997 =
  19. 19.7995 ÷ 8 =
  20. 20.498229 ÷ 998 =
  21. 21.797086 ÷ 989 =
  22. 22.776582 ÷ 988 =
  23. 23.195444 ÷ 989 =
  24. 24.179393 ÷ 997 =
  25. 25.143673 ÷ 998 =
  26. 26.733298 ÷ 989 =
  27. 27.85969 ÷ 89 =
  28. 28.6161 ÷ 8 =
  29. 29.238958 ÷ 989 =
  30. 30.49294 ÷ 97 =
  31. 31.938504 ÷ 997 =
  32. 32.5721 ÷ 8 =
  33. 33.54191 ÷ 97 =
  34. 34.54453 ÷ 98 =
  35. 35.392384 ÷ 988 =
  36. 36.687997 ÷ 998 =
  37. 37.64772 ÷ 98 =
  38. 38.18460 ÷ 96 =
  39. 39.59388 ÷ 98 =
  40. 40.688340 ÷ 989 =

Answer key

  1. 100 rem 82
  2. 355 rem 6
  3. 170 rem 127
  4. 740 rem 19
  5. 796 rem 983
  6. 105 rem 168
  7. 253 rem 43
  8. 420 rem 267
  9. 15 rem 105
  10. 485 rem 320
  11. 149 rem 937
  12. 254 rem 19
  13. 264 rem 2
  14. 58 rem 3
  15. 660 rem 86
  16. 376 rem 23
  17. 1122 rem 71
  18. 105 rem 924
  19. 999 rem 3
  20. 499 rem 227
  21. 805 rem 941
  22. 786 rem 14
  23. 197 rem 611
  24. 179 rem 930
  25. 143 rem 959
  26. 741 rem 449
  27. 965 rem 84
  28. 770 rem 1
  29. 241 rem 609
  30. 508 rem 18
  31. 941 rem 327
  32. 715 rem 1
  33. 558 rem 65
  34. 555 rem 63
  35. 397 rem 148
  36. 689 rem 375
  37. 660 rem 92
  38. 192 rem 28
  39. 606 rem 0
  40. 695 rem 985

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