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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 725 · 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. 1.70419 ÷ 88 =
  2. 2.6113 ÷ 98 =
  3. 3.330067 ÷ 997 =
  4. 4.5966 ÷ 88 =
  5. 5.706296 ÷ 897 =
  6. 6.14400 ÷ 88 =
  7. 7.183834 ÷ 988 =
  8. 8.748366 ÷ 997 =
  9. 9.753429 ÷ 897 =
  10. 10.217497 ÷ 997 =
  11. 11.27272 ÷ 89 =
  12. 12.5038 ÷ 88 =
  13. 13.53468 ÷ 88 =
  14. 14.397692 ÷ 997 =
  15. 15.688571 ÷ 997 =
  16. 16.2087 ÷ 88 =
  17. 17.717734 ÷ 989 =
  18. 18.95928 ÷ 97 =
  19. 19.116345 ÷ 989 =
  20. 20.282044 ÷ 897 =
  21. 21.79712 ÷ 989 =
  22. 22.83824 ÷ 89 =
  23. 23.926056 ÷ 989 =
  24. 24.856321 ÷ 998 =
  25. 25.94720 ÷ 98 =
  26. 26.7528 ÷ 97 =
  27. 27.583291 ÷ 897 =
  28. 28.746959 ÷ 988 =
  29. 29.18129 ÷ 98 =
  30. 30.1406 ÷ 8 =
  31. 31.44183 ÷ 96 =
  32. 32.41585 ÷ 98 =
  33. 33.86191 ÷ 89 =
  34. 34.333644 ÷ 998 =
  35. 35.66050 ÷ 96 =
  36. 36.720685 ÷ 989 =
  37. 37.113936 ÷ 988 =
  38. 38.28905 ÷ 97 =
  39. 39.1871 ÷ 8 =
  40. 40.522084 ÷ 988 =

Answer key

  1. 800 rem 19
  2. 62 rem 37
  3. 331 rem 60
  4. 67 rem 70
  5. 787 rem 357
  6. 163 rem 56
  7. 186 rem 66
  8. 750 rem 616
  9. 839 rem 846
  10. 218 rem 151
  11. 306 rem 38
  12. 57 rem 22
  13. 607 rem 52
  14. 398 rem 886
  15. 690 rem 641
  16. 23 rem 63
  17. 725 rem 709
  18. 988 rem 92
  19. 117 rem 632
  20. 314 rem 386
  21. 80 rem 592
  22. 941 rem 75
  23. 936 rem 352
  24. 858 rem 37
  25. 966 rem 52
  26. 77 rem 59
  27. 650 rem 241
  28. 756 rem 31
  29. 184 rem 97
  30. 175 rem 6
  31. 460 rem 23
  32. 424 rem 33
  33. 968 rem 39
  34. 334 rem 312
  35. 688 rem 2
  36. 728 rem 693
  37. 115 rem 316
  38. 297 rem 96
  39. 233 rem 7
  40. 528 rem 420

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