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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 265 · 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. 1.132609 ÷ 997 =
  2. 2.20032 ÷ 97 =
  3. 3.862254 ÷ 897 =
  4. 4.809526 ÷ 988 =
  5. 5.299222 ÷ 897 =
  6. 6.52509 ÷ 97 =
  7. 7.15280 ÷ 98 =
  8. 8.273238 ÷ 989 =
  9. 9.628269 ÷ 988 =
  10. 10.80594 ÷ 89 =
  11. 11.85917 ÷ 89 =
  12. 12.964908 ÷ 988 =
  13. 13.19658 ÷ 89 =
  14. 14.8670 ÷ 96 =
  15. 15.349922 ÷ 997 =
  16. 16.18374 ÷ 88 =
  17. 17.343 ÷ 8 =
  18. 18.155272 ÷ 989 =
  19. 19.24826 ÷ 98 =
  20. 20.472336 ÷ 997 =
  21. 21.22814 ÷ 96 =
  22. 22.71183 ÷ 88 =
  23. 23.6226 ÷ 8 =
  24. 24.74986 ÷ 98 =
  25. 25.758139 ÷ 897 =
  26. 26.52912 ÷ 989 =
  27. 27.988085 ÷ 897 =
  28. 28.22397 ÷ 98 =
  29. 29.88374 ÷ 98 =
  30. 30.633401 ÷ 897 =
  31. 31.23692 ÷ 96 =
  32. 32.1130 ÷ 8 =
  33. 33.281587 ÷ 997 =
  34. 34.46707 ÷ 98 =
  35. 35.29528 ÷ 96 =
  36. 36.272837 ÷ 997 =
  37. 37.194509 ÷ 997 =
  38. 38.98022 ÷ 96 =
  39. 39.87239 ÷ 88 =
  40. 40.38628 ÷ 97 =

Answer key

  1. 133 rem 8
  2. 206 rem 50
  3. 961 rem 237
  4. 819 rem 354
  5. 333 rem 521
  6. 541 rem 32
  7. 155 rem 90
  8. 276 rem 274
  9. 635 rem 889
  10. 905 rem 49
  11. 965 rem 32
  12. 976 rem 620
  13. 220 rem 78
  14. 90 rem 30
  15. 350 rem 972
  16. 208 rem 70
  17. 42 rem 7
  18. 156 rem 988
  19. 253 rem 32
  20. 473 rem 755
  21. 237 rem 62
  22. 808 rem 79
  23. 778 rem 2
  24. 765 rem 16
  25. 845 rem 174
  26. 53 rem 495
  27. 1101 rem 488
  28. 228 rem 53
  29. 901 rem 76
  30. 706 rem 119
  31. 246 rem 76
  32. 141 rem 2
  33. 282 rem 433
  34. 476 rem 59
  35. 307 rem 56
  36. 273 rem 656
  37. 195 rem 94
  38. 1021 rem 6
  39. 991 rem 31
  40. 398 rem 22

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