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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 779 · 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. 1.597682 ÷ 989 =
  2. 2.75719 ÷ 88 =
  3. 3.23325 ÷ 96 =
  4. 4.99767 ÷ 97 =
  5. 5.192695 ÷ 989 =
  6. 6.4478 ÷ 8 =
  7. 7.57053 ÷ 98 =
  8. 8.14097 ÷ 96 =
  9. 9.517 ÷ 8 =
  10. 10.53365 ÷ 88 =
  11. 11.91483 ÷ 98 =
  12. 12.35118 ÷ 96 =
  13. 13.793367 ÷ 998 =
  14. 14.357349 ÷ 989 =
  15. 15.30036 ÷ 88 =
  16. 16.2109 ÷ 8 =
  17. 17.60214 ÷ 96 =
  18. 18.471446 ÷ 997 =
  19. 19.21894 ÷ 88 =
  20. 20.84038 ÷ 98 =
  21. 21.47177 ÷ 98 =
  22. 22.697305 ÷ 998 =
  23. 23.325600 ÷ 988 =
  24. 24.477724 ÷ 897 =
  25. 25.999 ÷ 8 =
  26. 26.63612 ÷ 97 =
  27. 27.23767 ÷ 96 =
  28. 28.682049 ÷ 998 =
  29. 29.45938 ÷ 89 =
  30. 30.606443 ÷ 997 =
  31. 31.238829 ÷ 988 =
  32. 32.203407 ÷ 989 =
  33. 33.1179 ÷ 8 =
  34. 34.65328 ÷ 989 =
  35. 35.255868 ÷ 988 =
  36. 36.29363 ÷ 89 =
  37. 37.53156 ÷ 98 =
  38. 38.255961 ÷ 897 =
  39. 39.94329 ÷ 97 =
  40. 40.736264 ÷ 998 =

Answer key

  1. 604 rem 326
  2. 860 rem 39
  3. 242 rem 93
  4. 1028 rem 51
  5. 194 rem 829
  6. 559 rem 6
  7. 582 rem 17
  8. 146 rem 81
  9. 64 rem 5
  10. 606 rem 37
  11. 933 rem 49
  12. 365 rem 78
  13. 794 rem 955
  14. 361 rem 320
  15. 341 rem 28
  16. 263 rem 5
  17. 627 rem 22
  18. 472 rem 862
  19. 248 rem 70
  20. 857 rem 52
  21. 481 rem 39
  22. 698 rem 701
  23. 329 rem 548
  24. 532 rem 520
  25. 124 rem 7
  26. 655 rem 77
  27. 247 rem 55
  28. 683 rem 415
  29. 516 rem 14
  30. 608 rem 267
  31. 241 rem 721
  32. 205 rem 662
  33. 147 rem 3
  34. 66 rem 54
  35. 258 rem 964
  36. 329 rem 82
  37. 542 rem 40
  38. 285 rem 316
  39. 972 rem 45
  40. 737 rem 738

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