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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 204 · 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. 1.828687 ÷ 897 =
  2. 2.53819 ÷ 997 =
  3. 3.337565 ÷ 998 =
  4. 4.94738 ÷ 96 =
  5. 5.709324 ÷ 897 =
  6. 6.173990 ÷ 989 =
  7. 7.1650 ÷ 89 =
  8. 8.157070 ÷ 998 =
  9. 9.153445 ÷ 997 =
  10. 10.623758 ÷ 997 =
  11. 11.67496 ÷ 97 =
  12. 12.2551 ÷ 8 =
  13. 13.10100 ÷ 96 =
  14. 14.70788 ÷ 96 =
  15. 15.9308 ÷ 8 =
  16. 16.780861 ÷ 998 =
  17. 17.7252 ÷ 97 =
  18. 18.93225 ÷ 89 =
  19. 19.699323 ÷ 989 =
  20. 20.878697 ÷ 998 =
  21. 21.96231 ÷ 98 =
  22. 22.901812 ÷ 988 =
  23. 23.51716 ÷ 997 =
  24. 24.919383 ÷ 897 =
  25. 25.364057 ÷ 988 =
  26. 26.916456 ÷ 988 =
  27. 27.835120 ÷ 988 =
  28. 28.764964 ÷ 997 =
  29. 29.480165 ÷ 988 =
  30. 30.90949 ÷ 96 =
  31. 31.45660 ÷ 97 =
  32. 32.6820 ÷ 8 =
  33. 33.73626 ÷ 98 =
  34. 34.915782 ÷ 998 =
  35. 35.48645 ÷ 97 =
  36. 36.295428 ÷ 988 =
  37. 37.64679 ÷ 97 =
  38. 38.74439 ÷ 98 =
  39. 39.97288 ÷ 96 =
  40. 40.51480 ÷ 98 =

Answer key

  1. 923 rem 756
  2. 53 rem 978
  3. 338 rem 241
  4. 986 rem 82
  5. 790 rem 694
  6. 175 rem 915
  7. 18 rem 48
  8. 157 rem 384
  9. 153 rem 904
  10. 625 rem 633
  11. 695 rem 81
  12. 318 rem 7
  13. 105 rem 20
  14. 737 rem 36
  15. 1163 rem 4
  16. 782 rem 425
  17. 74 rem 74
  18. 1047 rem 42
  19. 707 rem 100
  20. 880 rem 457
  21. 981 rem 93
  22. 912 rem 756
  23. 51 rem 869
  24. 1024 rem 855
  25. 368 rem 473
  26. 927 rem 580
  27. 845 rem 260
  28. 767 rem 265
  29. 485 rem 985
  30. 947 rem 37
  31. 470 rem 70
  32. 852 rem 4
  33. 751 rem 28
  34. 917 rem 616
  35. 501 rem 48
  36. 299 rem 16
  37. 666 rem 77
  38. 759 rem 57
  39. 1013 rem 40
  40. 525 rem 30

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