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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 245 · 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. 1.61229 ÷ 88 =
  2. 2.24441 ÷ 97 =
  3. 3.133646 ÷ 998 =
  4. 4.306109 ÷ 997 =
  5. 5.92482 ÷ 88 =
  6. 6.410703 ÷ 989 =
  7. 7.35164 ÷ 88 =
  8. 8.55525 ÷ 98 =
  9. 9.13049 ÷ 98 =
  10. 10.931896 ÷ 897 =
  11. 11.4087 ÷ 96 =
  12. 12.27344 ÷ 98 =
  13. 13.294911 ÷ 897 =
  14. 14.7501 ÷ 8 =
  15. 15.7256 ÷ 88 =
  16. 16.82433 ÷ 897 =
  17. 17.39712 ÷ 989 =
  18. 18.79846 ÷ 88 =
  19. 19.82796 ÷ 96 =
  20. 20.50143 ÷ 98 =
  21. 21.296712 ÷ 897 =
  22. 22.402 ÷ 8 =
  23. 23.36677 ÷ 998 =
  24. 24.830197 ÷ 897 =
  25. 25.11853 ÷ 97 =
  26. 26.9913 ÷ 8 =
  27. 27.101949 ÷ 988 =
  28. 28.67757 ÷ 89 =
  29. 29.697389 ÷ 989 =
  30. 30.84772 ÷ 98 =
  31. 31.53786 ÷ 98 =
  32. 32.59055 ÷ 96 =
  33. 33.35286 ÷ 89 =
  34. 34.297905 ÷ 897 =
  35. 35.515544 ÷ 897 =
  36. 36.6667 ÷ 8 =
  37. 37.908870 ÷ 997 =
  38. 38.846820 ÷ 989 =
  39. 39.497493 ÷ 997 =
  40. 40.87628 ÷ 98 =

Answer key

  1. 695 rem 69
  2. 251 rem 94
  3. 133 rem 912
  4. 307 rem 30
  5. 1050 rem 82
  6. 415 rem 268
  7. 399 rem 52
  8. 566 rem 57
  9. 133 rem 15
  10. 1038 rem 810
  11. 42 rem 55
  12. 279 rem 2
  13. 328 rem 695
  14. 937 rem 5
  15. 82 rem 40
  16. 91 rem 806
  17. 40 rem 152
  18. 907 rem 30
  19. 862 rem 44
  20. 511 rem 65
  21. 330 rem 702
  22. 50 rem 2
  23. 36 rem 749
  24. 925 rem 472
  25. 122 rem 19
  26. 1239 rem 1
  27. 103 rem 185
  28. 761 rem 28
  29. 705 rem 144
  30. 865 rem 2
  31. 548 rem 82
  32. 615 rem 15
  33. 396 rem 42
  34. 332 rem 101
  35. 574 rem 666
  36. 833 rem 3
  37. 911 rem 603
  38. 856 rem 236
  39. 498 rem 987
  40. 894 rem 16

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