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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 403 · 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. 1.223181 ÷ 998 =
  2. 2.287959 ÷ 897 =
  3. 3.3743 ÷ 8 =
  4. 4.219744 ÷ 988 =
  5. 5.77445 ÷ 98 =
  6. 6.4410 ÷ 89 =
  7. 7.33482 ÷ 89 =
  8. 8.18456 ÷ 88 =
  9. 9.2264 ÷ 8 =
  10. 10.6280 ÷ 8 =
  11. 11.223149 ÷ 988 =
  12. 12.68675 ÷ 97 =
  13. 13.8133 ÷ 89 =
  14. 14.663330 ÷ 997 =
  15. 15.588334 ÷ 998 =
  16. 16.35169 ÷ 897 =
  17. 17.28994 ÷ 98 =
  18. 18.266897 ÷ 998 =
  19. 19.9451 ÷ 8 =
  20. 20.72611 ÷ 98 =
  21. 21.82304 ÷ 97 =
  22. 22.1570 ÷ 8 =
  23. 23.20737 ÷ 96 =
  24. 24.1520 ÷ 8 =
  25. 25.341596 ÷ 998 =
  26. 26.3990 ÷ 97 =
  27. 27.148954 ÷ 998 =
  28. 28.315998 ÷ 988 =
  29. 29.15094 ÷ 89 =
  30. 30.32117 ÷ 989 =
  31. 31.46836 ÷ 96 =
  32. 32.606357 ÷ 989 =
  33. 33.60049 ÷ 97 =
  34. 34.92470 ÷ 98 =
  35. 35.875780 ÷ 897 =
  36. 36.177970 ÷ 998 =
  37. 37.14495 ÷ 88 =
  38. 38.887827 ÷ 997 =
  39. 39.37838 ÷ 89 =
  40. 40.832642 ÷ 988 =

Answer key

  1. 223 rem 627
  2. 321 rem 22
  3. 467 rem 7
  4. 222 rem 408
  5. 790 rem 25
  6. 49 rem 49
  7. 376 rem 18
  8. 209 rem 64
  9. 283 rem 0
  10. 785 rem 0
  11. 225 rem 849
  12. 707 rem 96
  13. 91 rem 34
  14. 665 rem 325
  15. 589 rem 512
  16. 39 rem 186
  17. 295 rem 84
  18. 267 rem 431
  19. 1181 rem 3
  20. 740 rem 91
  21. 848 rem 48
  22. 196 rem 2
  23. 216 rem 1
  24. 190 rem 0
  25. 342 rem 280
  26. 41 rem 13
  27. 149 rem 252
  28. 319 rem 826
  29. 169 rem 53
  30. 32 rem 469
  31. 487 rem 84
  32. 613 rem 100
  33. 619 rem 6
  34. 943 rem 56
  35. 976 rem 308
  36. 178 rem 326
  37. 164 rem 63
  38. 890 rem 497
  39. 425 rem 13
  40. 842 rem 746

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