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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 642 · 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. 1.5670 ÷ 8 =
  2. 2.2236 ÷ 97 =
  3. 3.893937 ÷ 997 =
  4. 4.75139 ÷ 988 =
  5. 5.267245 ÷ 989 =
  6. 6.15147 ÷ 98 =
  7. 7.79425 ÷ 998 =
  8. 8.3869 ÷ 89 =
  9. 9.380304 ÷ 897 =
  10. 10.177574 ÷ 988 =
  11. 11.115246 ÷ 897 =
  12. 12.41036 ÷ 88 =
  13. 13.865236 ÷ 997 =
  14. 14.569263 ÷ 998 =
  15. 15.53203 ÷ 88 =
  16. 16.52334 ÷ 97 =
  17. 17.74925 ÷ 89 =
  18. 18.16846 ÷ 88 =
  19. 19.21349 ÷ 98 =
  20. 20.26900 ÷ 88 =
  21. 21.6707 ÷ 8 =
  22. 22.53208 ÷ 98 =
  23. 23.870910 ÷ 897 =
  24. 24.57183 ÷ 96 =
  25. 25.769027 ÷ 998 =
  26. 26.849344 ÷ 988 =
  27. 27.61131 ÷ 97 =
  28. 28.68529 ÷ 989 =
  29. 29.6935 ÷ 89 =
  30. 30.738857 ÷ 997 =
  31. 31.45249 ÷ 997 =
  32. 32.25580 ÷ 89 =
  33. 33.58732 ÷ 97 =
  34. 34.49071 ÷ 88 =
  35. 35.937956 ÷ 897 =
  36. 36.443642 ÷ 988 =
  37. 37.16358 ÷ 89 =
  38. 38.364305 ÷ 897 =
  39. 39.133016 ÷ 988 =
  40. 40.70733 ÷ 98 =

Answer key

  1. 708 rem 6
  2. 23 rem 5
  3. 896 rem 625
  4. 76 rem 51
  5. 270 rem 215
  6. 154 rem 55
  7. 79 rem 583
  8. 43 rem 42
  9. 423 rem 873
  10. 179 rem 722
  11. 128 rem 430
  12. 466 rem 28
  13. 867 rem 837
  14. 570 rem 403
  15. 604 rem 51
  16. 539 rem 51
  17. 841 rem 76
  18. 191 rem 38
  19. 217 rem 83
  20. 305 rem 60
  21. 838 rem 3
  22. 542 rem 92
  23. 970 rem 820
  24. 595 rem 63
  25. 770 rem 567
  26. 859 rem 652
  27. 630 rem 21
  28. 69 rem 288
  29. 77 rem 82
  30. 741 rem 80
  31. 45 rem 384
  32. 287 rem 37
  33. 605 rem 47
  34. 557 rem 55
  35. 1045 rem 591
  36. 449 rem 30
  37. 183 rem 71
  38. 406 rem 123
  39. 134 rem 624
  40. 721 rem 75

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