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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 472 · 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. 1.633499 ÷ 997 =
  2. 2.35464 ÷ 88 =
  3. 3.26161 ÷ 88 =
  4. 4.831166 ÷ 997 =
  5. 5.71190 ÷ 98 =
  6. 6.14500 ÷ 97 =
  7. 7.386908 ÷ 989 =
  8. 8.786903 ÷ 988 =
  9. 9.8053 ÷ 89 =
  10. 10.763608 ÷ 988 =
  11. 11.54462 ÷ 897 =
  12. 12.9903 ÷ 8 =
  13. 13.240392 ÷ 988 =
  14. 14.347827 ÷ 988 =
  15. 15.192926 ÷ 998 =
  16. 16.6110 ÷ 8 =
  17. 17.193791 ÷ 998 =
  18. 18.457312 ÷ 897 =
  19. 19.19131 ÷ 88 =
  20. 20.566339 ÷ 998 =
  21. 21.9518 ÷ 8 =
  22. 22.6084 ÷ 97 =
  23. 23.729692 ÷ 997 =
  24. 24.309351 ÷ 988 =
  25. 25.33785 ÷ 98 =
  26. 26.48143 ÷ 97 =
  27. 27.98706 ÷ 97 =
  28. 28.31893 ÷ 98 =
  29. 29.86630 ÷ 897 =
  30. 30.37163 ÷ 89 =
  31. 31.954162 ÷ 997 =
  32. 32.392818 ÷ 988 =
  33. 33.30223 ÷ 98 =
  34. 34.4373 ÷ 8 =
  35. 35.358801 ÷ 897 =
  36. 36.3881 ÷ 8 =
  37. 37.54644 ÷ 96 =
  38. 38.73335 ÷ 88 =
  39. 39.4849 ÷ 88 =
  40. 40.196416 ÷ 897 =

Answer key

  1. 635 rem 404
  2. 403 rem 0
  3. 297 rem 25
  4. 833 rem 665
  5. 726 rem 42
  6. 149 rem 47
  7. 391 rem 209
  8. 796 rem 455
  9. 90 rem 43
  10. 772 rem 872
  11. 60 rem 642
  12. 1237 rem 7
  13. 243 rem 308
  14. 352 rem 51
  15. 193 rem 312
  16. 763 rem 6
  17. 194 rem 179
  18. 509 rem 739
  19. 217 rem 35
  20. 567 rem 473
  21. 1189 rem 6
  22. 62 rem 70
  23. 731 rem 885
  24. 313 rem 107
  25. 344 rem 73
  26. 496 rem 31
  27. 1017 rem 57
  28. 325 rem 43
  29. 96 rem 518
  30. 417 rem 50
  31. 957 rem 33
  32. 397 rem 582
  33. 308 rem 39
  34. 546 rem 5
  35. 400 rem 1
  36. 485 rem 1
  37. 569 rem 20
  38. 833 rem 31
  39. 55 rem 9
  40. 218 rem 870

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