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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 532 · 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. 1.29812 ÷ 97 =
  2. 2.711351 ÷ 989 =
  3. 3.56089 ÷ 88 =
  4. 4.1782 ÷ 8 =
  5. 5.4126 ÷ 8 =
  6. 6.790770 ÷ 997 =
  7. 7.2847 ÷ 8 =
  8. 8.845660 ÷ 998 =
  9. 9.2739 ÷ 8 =
  10. 10.959373 ÷ 988 =
  11. 11.186287 ÷ 998 =
  12. 12.125436 ÷ 988 =
  13. 13.426366 ÷ 997 =
  14. 14.9039 ÷ 8 =
  15. 15.46191 ÷ 988 =
  16. 16.25147 ÷ 96 =
  17. 17.66074 ÷ 89 =
  18. 18.58282 ÷ 89 =
  19. 19.42895 ÷ 89 =
  20. 20.2441 ÷ 88 =
  21. 21.601489 ÷ 897 =
  22. 22.71083 ÷ 98 =
  23. 23.65947 ÷ 97 =
  24. 24.4897 ÷ 98 =
  25. 25.82226 ÷ 88 =
  26. 26.19169 ÷ 88 =
  27. 27.996526 ÷ 989 =
  28. 28.3695 ÷ 98 =
  29. 29.4396 ÷ 8 =
  30. 30.139829 ÷ 988 =
  31. 31.69246 ÷ 897 =
  32. 32.80723 ÷ 98 =
  33. 33.6357 ÷ 98 =
  34. 34.40302 ÷ 88 =
  35. 35.2588 ÷ 8 =
  36. 36.5806 ÷ 8 =
  37. 37.75254 ÷ 89 =
  38. 38.46784 ÷ 897 =
  39. 39.2219 ÷ 8 =
  40. 40.175969 ÷ 988 =

Answer key

  1. 307 rem 33
  2. 719 rem 260
  3. 637 rem 33
  4. 222 rem 6
  5. 515 rem 6
  6. 793 rem 149
  7. 355 rem 7
  8. 847 rem 354
  9. 342 rem 3
  10. 971 rem 25
  11. 186 rem 659
  12. 126 rem 948
  13. 427 rem 647
  14. 1129 rem 7
  15. 46 rem 743
  16. 261 rem 91
  17. 742 rem 36
  18. 654 rem 76
  19. 481 rem 86
  20. 27 rem 65
  21. 670 rem 499
  22. 725 rem 33
  23. 679 rem 84
  24. 49 rem 95
  25. 934 rem 34
  26. 217 rem 73
  27. 1007 rem 603
  28. 37 rem 69
  29. 549 rem 4
  30. 141 rem 521
  31. 77 rem 177
  32. 823 rem 69
  33. 64 rem 85
  34. 457 rem 86
  35. 323 rem 4
  36. 725 rem 6
  37. 845 rem 49
  38. 52 rem 140
  39. 277 rem 3
  40. 178 rem 105

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