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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 203 · 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. 1.433896 ÷ 988 =
  2. 2.6906 ÷ 98 =
  3. 3.360039 ÷ 997 =
  4. 4.80431 ÷ 97 =
  5. 5.27652 ÷ 98 =
  6. 6.532841 ÷ 997 =
  7. 7.364995 ÷ 897 =
  8. 8.145708 ÷ 988 =
  9. 9.84046 ÷ 97 =
  10. 10.902210 ÷ 989 =
  11. 11.4205 ÷ 97 =
  12. 12.26714 ÷ 97 =
  13. 13.72495 ÷ 89 =
  14. 14.88351 ÷ 98 =
  15. 15.986796 ÷ 989 =
  16. 16.32604 ÷ 88 =
  17. 17.84756 ÷ 98 =
  18. 18.592696 ÷ 989 =
  19. 19.10057 ÷ 96 =
  20. 20.26435 ÷ 88 =
  21. 21.126058 ÷ 997 =
  22. 22.33302 ÷ 96 =
  23. 23.60138 ÷ 998 =
  24. 24.596122 ÷ 997 =
  25. 25.65423 ÷ 96 =
  26. 26.27417 ÷ 97 =
  27. 27.20845 ÷ 96 =
  28. 28.2445 ÷ 8 =
  29. 29.4728 ÷ 88 =
  30. 30.36925 ÷ 97 =
  31. 31.42717 ÷ 96 =
  32. 32.560272 ÷ 998 =
  33. 33.339462 ÷ 988 =
  34. 34.1951 ÷ 8 =
  35. 35.56523 ÷ 98 =
  36. 36.76097 ÷ 97 =
  37. 37.46063 ÷ 96 =
  38. 38.60971 ÷ 97 =
  39. 39.862610 ÷ 897 =
  40. 40.288202 ÷ 997 =

Answer key

  1. 439 rem 164
  2. 70 rem 46
  3. 361 rem 122
  4. 829 rem 18
  5. 282 rem 16
  6. 534 rem 443
  7. 406 rem 813
  8. 147 rem 472
  9. 866 rem 44
  10. 912 rem 242
  11. 43 rem 34
  12. 275 rem 39
  13. 814 rem 49
  14. 901 rem 53
  15. 997 rem 763
  16. 370 rem 44
  17. 864 rem 84
  18. 599 rem 285
  19. 104 rem 73
  20. 300 rem 35
  21. 126 rem 436
  22. 346 rem 86
  23. 60 rem 258
  24. 597 rem 913
  25. 681 rem 47
  26. 282 rem 63
  27. 217 rem 13
  28. 305 rem 5
  29. 53 rem 64
  30. 380 rem 65
  31. 444 rem 93
  32. 561 rem 394
  33. 343 rem 578
  34. 243 rem 7
  35. 576 rem 75
  36. 784 rem 49
  37. 479 rem 79
  38. 628 rem 55
  39. 961 rem 593
  40. 289 rem 69

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