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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 523 · 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. 1.63528 ÷ 97 =
  2. 2.2130 ÷ 8 =
  3. 3.70527 ÷ 98 =
  4. 4.93733 ÷ 98 =
  5. 5.4766 ÷ 8 =
  6. 6.2389 ÷ 8 =
  7. 7.91620 ÷ 98 =
  8. 8.61235 ÷ 97 =
  9. 9.218434 ÷ 897 =
  10. 10.24260 ÷ 89 =
  11. 11.16747 ÷ 96 =
  12. 12.825588 ÷ 998 =
  13. 13.35278 ÷ 96 =
  14. 14.94110 ÷ 989 =
  15. 15.424773 ÷ 997 =
  16. 16.74391 ÷ 96 =
  17. 17.95020 ÷ 89 =
  18. 18.11420 ÷ 98 =
  19. 19.714972 ÷ 998 =
  20. 20.9660 ÷ 8 =
  21. 21.1487 ÷ 98 =
  22. 22.97295 ÷ 96 =
  23. 23.84658 ÷ 97 =
  24. 24.205840 ÷ 988 =
  25. 25.225280 ÷ 988 =
  26. 26.90146 ÷ 89 =
  27. 27.440710 ÷ 988 =
  28. 28.807081 ÷ 989 =
  29. 29.2591 ÷ 89 =
  30. 30.96895 ÷ 989 =
  31. 31.820084 ÷ 897 =
  32. 32.331851 ÷ 988 =
  33. 33.464858 ÷ 998 =
  34. 34.830524 ÷ 998 =
  35. 35.555589 ÷ 897 =
  36. 36.518401 ÷ 998 =
  37. 37.894769 ÷ 897 =
  38. 38.53681 ÷ 98 =
  39. 39.94150 ÷ 98 =
  40. 40.706623 ÷ 897 =

Answer key

  1. 654 rem 90
  2. 266 rem 2
  3. 719 rem 65
  4. 956 rem 45
  5. 595 rem 6
  6. 298 rem 5
  7. 934 rem 88
  8. 631 rem 28
  9. 243 rem 463
  10. 272 rem 52
  11. 174 rem 43
  12. 827 rem 242
  13. 367 rem 46
  14. 95 rem 155
  15. 426 rem 51
  16. 774 rem 87
  17. 1067 rem 57
  18. 116 rem 52
  19. 716 rem 404
  20. 1207 rem 4
  21. 15 rem 17
  22. 1013 rem 47
  23. 872 rem 74
  24. 208 rem 336
  25. 228 rem 16
  26. 1012 rem 78
  27. 446 rem 62
  28. 816 rem 57
  29. 29 rem 10
  30. 97 rem 962
  31. 914 rem 226
  32. 335 rem 871
  33. 465 rem 788
  34. 832 rem 188
  35. 619 rem 346
  36. 519 rem 439
  37. 997 rem 460
  38. 547 rem 75
  39. 960 rem 70
  40. 787 rem 684

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