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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 433 · 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. 1.552934 ÷ 988 =
  2. 2.77110 ÷ 98 =
  3. 3.73031 ÷ 96 =
  4. 4.18637 ÷ 89 =
  5. 5.969310 ÷ 998 =
  6. 6.67330 ÷ 98 =
  7. 7.9001 ÷ 8 =
  8. 8.26534 ÷ 98 =
  9. 9.26337 ÷ 89 =
  10. 10.51810 ÷ 89 =
  11. 11.196195 ÷ 989 =
  12. 12.587090 ÷ 997 =
  13. 13.87674 ÷ 88 =
  14. 14.921105 ÷ 988 =
  15. 15.36543 ÷ 97 =
  16. 16.734480 ÷ 897 =
  17. 17.998734 ÷ 897 =
  18. 18.334384 ÷ 997 =
  19. 19.68495 ÷ 98 =
  20. 20.27962 ÷ 88 =
  21. 21.67219 ÷ 96 =
  22. 22.93505 ÷ 89 =
  23. 23.36489 ÷ 98 =
  24. 24.5611 ÷ 98 =
  25. 25.44999 ÷ 88 =
  26. 26.7496 ÷ 8 =
  27. 27.35345 ÷ 98 =
  28. 28.13101 ÷ 96 =
  29. 29.496962 ÷ 988 =
  30. 30.46200 ÷ 97 =
  31. 31.309321 ÷ 988 =
  32. 32.857899 ÷ 989 =
  33. 33.76789 ÷ 89 =
  34. 34.241426 ÷ 989 =
  35. 35.38011 ÷ 89 =
  36. 36.68267 ÷ 989 =
  37. 37.7505 ÷ 8 =
  38. 38.94988 ÷ 98 =
  39. 39.773872 ÷ 998 =
  40. 40.1021 ÷ 8 =

Answer key

  1. 559 rem 642
  2. 786 rem 82
  3. 760 rem 71
  4. 209 rem 36
  5. 971 rem 252
  6. 687 rem 4
  7. 1125 rem 1
  8. 270 rem 74
  9. 295 rem 82
  10. 582 rem 12
  11. 198 rem 373
  12. 588 rem 854
  13. 996 rem 26
  14. 932 rem 289
  15. 376 rem 71
  16. 818 rem 734
  17. 1113 rem 373
  18. 335 rem 389
  19. 698 rem 91
  20. 317 rem 66
  21. 700 rem 19
  22. 1050 rem 55
  23. 372 rem 33
  24. 57 rem 25
  25. 511 rem 31
  26. 937 rem 0
  27. 360 rem 65
  28. 136 rem 45
  29. 502 rem 986
  30. 476 rem 28
  31. 313 rem 77
  32. 867 rem 436
  33. 862 rem 71
  34. 244 rem 110
  35. 427 rem 8
  36. 69 rem 26
  37. 938 rem 1
  38. 969 rem 26
  39. 775 rem 422
  40. 127 rem 5

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