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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 812 · 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. 1.3125 ÷ 8 =
  2. 2.798185 ÷ 997 =
  3. 3.803 ÷ 8 =
  4. 4.122500 ÷ 897 =
  5. 5.417853 ÷ 997 =
  6. 6.858000 ÷ 989 =
  7. 7.5598 ÷ 8 =
  8. 8.896465 ÷ 997 =
  9. 9.72684 ÷ 88 =
  10. 10.308020 ÷ 897 =
  11. 11.9029 ÷ 8 =
  12. 12.2021 ÷ 8 =
  13. 13.560124 ÷ 897 =
  14. 14.367427 ÷ 998 =
  15. 15.792349 ÷ 988 =
  16. 16.746322 ÷ 998 =
  17. 17.92616 ÷ 89 =
  18. 18.81403 ÷ 88 =
  19. 19.80005 ÷ 98 =
  20. 20.950106 ÷ 998 =
  21. 21.65599 ÷ 96 =
  22. 22.20264 ÷ 97 =
  23. 23.51826 ÷ 96 =
  24. 24.28590 ÷ 89 =
  25. 25.69656 ÷ 98 =
  26. 26.33403 ÷ 96 =
  27. 27.9847 ÷ 98 =
  28. 28.64307 ÷ 88 =
  29. 29.96574 ÷ 98 =
  30. 30.52788 ÷ 98 =
  31. 31.77816 ÷ 97 =
  32. 32.85446 ÷ 96 =
  33. 33.492605 ÷ 988 =
  34. 34.75809 ÷ 89 =
  35. 35.97044 ÷ 897 =
  36. 36.813778 ÷ 998 =
  37. 37.328284 ÷ 988 =
  38. 38.72240 ÷ 897 =
  39. 39.20755 ÷ 89 =
  40. 40.267574 ÷ 998 =

Answer key

  1. 390 rem 5
  2. 800 rem 585
  3. 100 rem 3
  4. 136 rem 508
  5. 419 rem 110
  6. 867 rem 537
  7. 699 rem 6
  8. 899 rem 162
  9. 825 rem 84
  10. 343 rem 349
  11. 1128 rem 5
  12. 252 rem 5
  13. 624 rem 396
  14. 368 rem 163
  15. 801 rem 961
  16. 747 rem 816
  17. 1040 rem 56
  18. 925 rem 3
  19. 816 rem 37
  20. 952 rem 10
  21. 683 rem 31
  22. 208 rem 88
  23. 539 rem 82
  24. 321 rem 21
  25. 710 rem 76
  26. 347 rem 91
  27. 100 rem 47
  28. 730 rem 67
  29. 985 rem 44
  30. 538 rem 64
  31. 802 rem 22
  32. 890 rem 6
  33. 498 rem 581
  34. 851 rem 70
  35. 108 rem 168
  36. 815 rem 408
  37. 332 rem 268
  38. 80 rem 480
  39. 233 rem 18
  40. 268 rem 110

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