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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 358 · 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. 1.17020 ÷ 97 =
  2. 2.20859 ÷ 89 =
  3. 3.1332 ÷ 8 =
  4. 4.9516 ÷ 8 =
  5. 5.94177 ÷ 96 =
  6. 6.936378 ÷ 997 =
  7. 7.68143 ÷ 96 =
  8. 8.90867 ÷ 98 =
  9. 9.37881 ÷ 98 =
  10. 10.97580 ÷ 998 =
  11. 11.144245 ÷ 997 =
  12. 12.366206 ÷ 989 =
  13. 13.97342 ÷ 97 =
  14. 14.539252 ÷ 998 =
  15. 15.3631 ÷ 96 =
  16. 16.2429 ÷ 8 =
  17. 17.158579 ÷ 989 =
  18. 18.2461 ÷ 8 =
  19. 19.63829 ÷ 88 =
  20. 20.38588 ÷ 88 =
  21. 21.21778 ÷ 88 =
  22. 22.1022 ÷ 89 =
  23. 23.890866 ÷ 997 =
  24. 24.36470 ÷ 96 =
  25. 25.286907 ÷ 998 =
  26. 26.473 ÷ 8 =
  27. 27.949079 ÷ 998 =
  28. 28.948173 ÷ 989 =
  29. 29.242259 ÷ 989 =
  30. 30.72555 ÷ 98 =
  31. 31.132291 ÷ 998 =
  32. 32.29364 ÷ 96 =
  33. 33.29860 ÷ 89 =
  34. 34.985016 ÷ 998 =
  35. 35.53310 ÷ 98 =
  36. 36.58479 ÷ 97 =
  37. 37.956468 ÷ 998 =
  38. 38.58549 ÷ 98 =
  39. 39.8653 ÷ 96 =
  40. 40.493393 ÷ 997 =

Answer key

  1. 175 rem 45
  2. 234 rem 33
  3. 166 rem 4
  4. 1189 rem 4
  5. 981 rem 1
  6. 939 rem 195
  7. 709 rem 79
  8. 927 rem 21
  9. 386 rem 53
  10. 97 rem 774
  11. 144 rem 677
  12. 370 rem 276
  13. 1003 rem 51
  14. 540 rem 332
  15. 37 rem 79
  16. 303 rem 5
  17. 160 rem 339
  18. 307 rem 5
  19. 725 rem 29
  20. 438 rem 44
  21. 247 rem 42
  22. 11 rem 43
  23. 893 rem 545
  24. 379 rem 86
  25. 287 rem 481
  26. 59 rem 1
  27. 950 rem 979
  28. 958 rem 711
  29. 244 rem 943
  30. 740 rem 35
  31. 132 rem 555
  32. 305 rem 84
  33. 335 rem 45
  34. 986 rem 988
  35. 543 rem 96
  36. 602 rem 85
  37. 958 rem 384
  38. 597 rem 43
  39. 90 rem 13
  40. 494 rem 875

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