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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 854 · 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. 1.47024 ÷ 97 =
  2. 2.915420 ÷ 988 =
  3. 3.51578 ÷ 98 =
  4. 4.12833 ÷ 98 =
  5. 5.45809 ÷ 96 =
  6. 6.21235 ÷ 98 =
  7. 7.53579 ÷ 98 =
  8. 8.67032 ÷ 89 =
  9. 9.22316 ÷ 96 =
  10. 10.10927 ÷ 97 =
  11. 11.4497 ÷ 98 =
  12. 12.80654 ÷ 97 =
  13. 13.78666 ÷ 97 =
  14. 14.44214 ÷ 89 =
  15. 15.78748 ÷ 88 =
  16. 16.4167 ÷ 8 =
  17. 17.33017 ÷ 98 =
  18. 18.465363 ÷ 989 =
  19. 19.771475 ÷ 988 =
  20. 20.53960 ÷ 89 =
  21. 21.399712 ÷ 897 =
  22. 22.64056 ÷ 89 =
  23. 23.693522 ÷ 997 =
  24. 24.57120 ÷ 98 =
  25. 25.15406 ÷ 97 =
  26. 26.44427 ÷ 89 =
  27. 27.28065 ÷ 97 =
  28. 28.78728 ÷ 89 =
  29. 29.1828 ÷ 97 =
  30. 30.85368 ÷ 96 =
  31. 31.963332 ÷ 989 =
  32. 32.278281 ÷ 989 =
  33. 33.187262 ÷ 989 =
  34. 34.488672 ÷ 997 =
  35. 35.97003 ÷ 98 =
  36. 36.593146 ÷ 897 =
  37. 37.57914 ÷ 97 =
  38. 38.79352 ÷ 97 =
  39. 39.99009 ÷ 96 =
  40. 40.694471 ÷ 897 =

Answer key

  1. 484 rem 76
  2. 926 rem 532
  3. 526 rem 30
  4. 130 rem 93
  5. 477 rem 17
  6. 216 rem 67
  7. 546 rem 71
  8. 753 rem 15
  9. 232 rem 44
  10. 112 rem 63
  11. 45 rem 87
  12. 831 rem 47
  13. 810 rem 96
  14. 496 rem 70
  15. 894 rem 76
  16. 520 rem 7
  17. 336 rem 89
  18. 470 rem 533
  19. 780 rem 835
  20. 606 rem 26
  21. 445 rem 547
  22. 719 rem 65
  23. 695 rem 607
  24. 582 rem 84
  25. 158 rem 80
  26. 499 rem 16
  27. 289 rem 32
  28. 884 rem 52
  29. 18 rem 82
  30. 889 rem 24
  31. 974 rem 46
  32. 281 rem 372
  33. 189 rem 341
  34. 490 rem 142
  35. 989 rem 81
  36. 661 rem 229
  37. 597 rem 5
  38. 818 rem 6
  39. 1031 rem 33
  40. 774 rem 193

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