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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 230 · 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. 1.911519 ÷ 997 =
  2. 2.99138 ÷ 96 =
  3. 3.70377 ÷ 89 =
  4. 4.175559 ÷ 998 =
  5. 5.84154 ÷ 88 =
  6. 6.964850 ÷ 989 =
  7. 7.31793 ÷ 89 =
  8. 8.6588 ÷ 8 =
  9. 9.991212 ÷ 997 =
  10. 10.27633 ÷ 97 =
  11. 11.128236 ÷ 988 =
  12. 12.18016 ÷ 88 =
  13. 13.876774 ÷ 998 =
  14. 14.77033 ÷ 989 =
  15. 15.563922 ÷ 897 =
  16. 16.73323 ÷ 97 =
  17. 17.33780 ÷ 96 =
  18. 18.570431 ÷ 897 =
  19. 19.13166 ÷ 98 =
  20. 20.77060 ÷ 97 =
  21. 21.85824 ÷ 96 =
  22. 22.4758 ÷ 8 =
  23. 23.70888 ÷ 989 =
  24. 24.10253 ÷ 98 =
  25. 25.841654 ÷ 988 =
  26. 26.39772 ÷ 988 =
  27. 27.70936 ÷ 96 =
  28. 28.46524 ÷ 98 =
  29. 29.421559 ÷ 897 =
  30. 30.66707 ÷ 97 =
  31. 31.454129 ÷ 988 =
  32. 32.326505 ÷ 897 =
  33. 33.874912 ÷ 988 =
  34. 34.197445 ÷ 989 =
  35. 35.536381 ÷ 998 =
  36. 36.41272 ÷ 98 =
  37. 37.64653 ÷ 897 =
  38. 38.447940 ÷ 997 =
  39. 39.97410 ÷ 88 =
  40. 40.9500 ÷ 8 =

Answer key

  1. 914 rem 261
  2. 1032 rem 66
  3. 790 rem 67
  4. 175 rem 909
  5. 956 rem 26
  6. 975 rem 575
  7. 357 rem 20
  8. 823 rem 4
  9. 994 rem 194
  10. 284 rem 85
  11. 129 rem 784
  12. 204 rem 64
  13. 878 rem 530
  14. 77 rem 880
  15. 628 rem 606
  16. 755 rem 88
  17. 351 rem 84
  18. 635 rem 836
  19. 134 rem 34
  20. 794 rem 42
  21. 894 rem 0
  22. 594 rem 6
  23. 71 rem 669
  24. 104 rem 61
  25. 851 rem 866
  26. 40 rem 252
  27. 738 rem 88
  28. 474 rem 72
  29. 469 rem 866
  30. 687 rem 68
  31. 459 rem 637
  32. 363 rem 894
  33. 885 rem 532
  34. 199 rem 634
  35. 537 rem 455
  36. 421 rem 14
  37. 72 rem 69
  38. 449 rem 287
  39. 1106 rem 82
  40. 1187 rem 4

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