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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 998 · 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. 1.99350 ÷ 98 =
  2. 2.8800 ÷ 8 =
  3. 3.15476 ÷ 89 =
  4. 4.66291 ÷ 96 =
  5. 5.2597 ÷ 8 =
  6. 6.63431 ÷ 96 =
  7. 7.83917 ÷ 89 =
  8. 8.364963 ÷ 989 =
  9. 9.984616 ÷ 988 =
  10. 10.66967 ÷ 88 =
  11. 11.14583 ÷ 897 =
  12. 12.840129 ÷ 998 =
  13. 13.612602 ÷ 988 =
  14. 14.359586 ÷ 988 =
  15. 15.254403 ÷ 998 =
  16. 16.866800 ÷ 997 =
  17. 17.83504 ÷ 96 =
  18. 18.44832 ÷ 97 =
  19. 19.54007 ÷ 98 =
  20. 20.79117 ÷ 98 =
  21. 21.225578 ÷ 988 =
  22. 22.37455 ÷ 97 =
  23. 23.22679 ÷ 97 =
  24. 24.44059 ÷ 998 =
  25. 25.62198 ÷ 98 =
  26. 26.24283 ÷ 98 =
  27. 27.31022 ÷ 88 =
  28. 28.4635 ÷ 8 =
  29. 29.457457 ÷ 897 =
  30. 30.13298 ÷ 96 =
  31. 31.135075 ÷ 897 =
  32. 32.451912 ÷ 988 =
  33. 33.28677 ÷ 97 =
  34. 34.16694 ÷ 88 =
  35. 35.56276 ÷ 96 =
  36. 36.471992 ÷ 998 =
  37. 37.2531 ÷ 8 =
  38. 38.83640 ÷ 88 =
  39. 39.881870 ÷ 997 =
  40. 40.78598 ÷ 897 =

Answer key

  1. 1013 rem 76
  2. 1100 rem 0
  3. 173 rem 79
  4. 690 rem 51
  5. 324 rem 5
  6. 660 rem 71
  7. 942 rem 79
  8. 369 rem 22
  9. 996 rem 568
  10. 760 rem 87
  11. 16 rem 231
  12. 841 rem 811
  13. 620 rem 42
  14. 363 rem 942
  15. 254 rem 911
  16. 869 rem 407
  17. 869 rem 80
  18. 462 rem 18
  19. 551 rem 9
  20. 807 rem 31
  21. 228 rem 314
  22. 386 rem 13
  23. 233 rem 78
  24. 44 rem 147
  25. 634 rem 66
  26. 247 rem 77
  27. 352 rem 46
  28. 579 rem 3
  29. 509 rem 884
  30. 138 rem 50
  31. 150 rem 525
  32. 457 rem 396
  33. 295 rem 62
  34. 189 rem 62
  35. 586 rem 20
  36. 472 rem 936
  37. 316 rem 3
  38. 950 rem 40
  39. 884 rem 522
  40. 87 rem 559

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