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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 81 · 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. 1.65430 ÷ 96 =
  2. 2.56955 ÷ 88 =
  3. 3.833572 ÷ 897 =
  4. 4.1492 ÷ 8 =
  5. 5.221267 ÷ 897 =
  6. 6.30193 ÷ 88 =
  7. 7.841608 ÷ 988 =
  8. 8.2160 ÷ 8 =
  9. 9.941 ÷ 8 =
  10. 10.85903 ÷ 97 =
  11. 11.10242 ÷ 97 =
  12. 12.357189 ÷ 988 =
  13. 13.99623 ÷ 989 =
  14. 14.881437 ÷ 897 =
  15. 15.481650 ÷ 897 =
  16. 16.867584 ÷ 989 =
  17. 17.7660 ÷ 88 =
  18. 18.11582 ÷ 98 =
  19. 19.4891 ÷ 98 =
  20. 20.394299 ÷ 897 =
  21. 21.934371 ÷ 988 =
  22. 22.707257 ÷ 897 =
  23. 23.78358 ÷ 96 =
  24. 24.318412 ÷ 989 =
  25. 25.25056 ÷ 89 =
  26. 26.71817 ÷ 98 =
  27. 27.74191 ÷ 997 =
  28. 28.90279 ÷ 89 =
  29. 29.8976 ÷ 8 =
  30. 30.219000 ÷ 897 =
  31. 31.39826 ÷ 96 =
  32. 32.7212 ÷ 88 =
  33. 33.59289 ÷ 89 =
  34. 34.190421 ÷ 897 =
  35. 35.20191 ÷ 89 =
  36. 36.3150 ÷ 8 =
  37. 37.9794 ÷ 88 =
  38. 38.18915 ÷ 98 =
  39. 39.58672 ÷ 98 =
  40. 40.89326 ÷ 89 =

Answer key

  1. 681 rem 54
  2. 647 rem 19
  3. 929 rem 259
  4. 186 rem 4
  5. 246 rem 605
  6. 343 rem 9
  7. 851 rem 820
  8. 270 rem 0
  9. 117 rem 5
  10. 885 rem 58
  11. 105 rem 57
  12. 361 rem 521
  13. 100 rem 723
  14. 982 rem 583
  15. 536 rem 858
  16. 877 rem 231
  17. 87 rem 4
  18. 118 rem 18
  19. 49 rem 89
  20. 439 rem 516
  21. 945 rem 711
  22. 788 rem 421
  23. 816 rem 22
  24. 321 rem 943
  25. 281 rem 47
  26. 732 rem 81
  27. 74 rem 413
  28. 1014 rem 33
  29. 1122 rem 0
  30. 244 rem 132
  31. 414 rem 82
  32. 81 rem 84
  33. 666 rem 15
  34. 212 rem 257
  35. 226 rem 77
  36. 393 rem 6
  37. 111 rem 26
  38. 193 rem 1
  39. 598 rem 68
  40. 1003 rem 59

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