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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 885 · 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. 1.1211 ÷ 89 =
  2. 2.59703 ÷ 96 =
  3. 3.53632 ÷ 88 =
  4. 4.3351 ÷ 89 =
  5. 5.1063 ÷ 8 =
  6. 6.48053 ÷ 98 =
  7. 7.85281 ÷ 96 =
  8. 8.922047 ÷ 989 =
  9. 9.24287 ÷ 98 =
  10. 10.112106 ÷ 988 =
  11. 11.99528 ÷ 989 =
  12. 12.43699 ÷ 98 =
  13. 13.82072 ÷ 97 =
  14. 14.55742 ÷ 998 =
  15. 15.29890 ÷ 88 =
  16. 16.24190 ÷ 97 =
  17. 17.177080 ÷ 998 =
  18. 18.926336 ÷ 997 =
  19. 19.96989 ÷ 988 =
  20. 20.450466 ÷ 989 =
  21. 21.188807 ÷ 897 =
  22. 22.432005 ÷ 988 =
  23. 23.963829 ÷ 998 =
  24. 24.94403 ÷ 98 =
  25. 25.10260 ÷ 88 =
  26. 26.29357 ÷ 88 =
  27. 27.736561 ÷ 897 =
  28. 28.384425 ÷ 998 =
  29. 29.868773 ÷ 897 =
  30. 30.935512 ÷ 988 =
  31. 31.78234 ÷ 96 =
  32. 32.774649 ÷ 997 =
  33. 33.643288 ÷ 998 =
  34. 34.638591 ÷ 997 =
  35. 35.35489 ÷ 97 =
  36. 36.14998 ÷ 98 =
  37. 37.37119 ÷ 997 =
  38. 38.2358 ÷ 8 =
  39. 39.80407 ÷ 98 =
  40. 40.778892 ÷ 897 =

Answer key

  1. 13 rem 54
  2. 621 rem 87
  3. 609 rem 40
  4. 37 rem 58
  5. 132 rem 7
  6. 490 rem 33
  7. 888 rem 33
  8. 932 rem 299
  9. 247 rem 81
  10. 113 rem 462
  11. 100 rem 628
  12. 445 rem 89
  13. 846 rem 10
  14. 55 rem 852
  15. 339 rem 58
  16. 249 rem 37
  17. 177 rem 434
  18. 929 rem 123
  19. 98 rem 165
  20. 455 rem 471
  21. 210 rem 437
  22. 437 rem 249
  23. 965 rem 759
  24. 963 rem 29
  25. 116 rem 52
  26. 333 rem 53
  27. 821 rem 124
  28. 385 rem 195
  29. 968 rem 477
  30. 946 rem 864
  31. 814 rem 90
  32. 776 rem 977
  33. 644 rem 576
  34. 640 rem 511
  35. 365 rem 84
  36. 153 rem 4
  37. 37 rem 230
  38. 294 rem 6
  39. 820 rem 47
  40. 868 rem 296

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