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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 54 · 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. 1.723306 ÷ 897 =
  2. 2.97825 ÷ 89 =
  3. 3.1473 ÷ 8 =
  4. 4.901829 ÷ 998 =
  5. 5.52125 ÷ 98 =
  6. 6.99439 ÷ 98 =
  7. 7.50408 ÷ 89 =
  8. 8.80459 ÷ 988 =
  9. 9.757486 ÷ 997 =
  10. 10.9262 ÷ 98 =
  11. 11.674991 ÷ 997 =
  12. 12.960956 ÷ 988 =
  13. 13.73927 ÷ 98 =
  14. 14.7711 ÷ 88 =
  15. 15.791555 ÷ 997 =
  16. 16.976448 ÷ 988 =
  17. 17.78550 ÷ 997 =
  18. 18.944087 ÷ 997 =
  19. 19.70139 ÷ 97 =
  20. 20.172986 ÷ 988 =
  21. 21.124353 ÷ 989 =
  22. 22.75628 ÷ 998 =
  23. 23.11192 ÷ 88 =
  24. 24.235700 ÷ 989 =
  25. 25.42255 ÷ 89 =
  26. 26.12250 ÷ 89 =
  27. 27.262911 ÷ 989 =
  28. 28.65673 ÷ 89 =
  29. 29.301857 ÷ 988 =
  30. 30.705001 ÷ 897 =
  31. 31.3304 ÷ 8 =
  32. 32.648611 ÷ 988 =
  33. 33.760189 ÷ 988 =
  34. 34.430295 ÷ 997 =
  35. 35.386241 ÷ 998 =
  36. 36.1027 ÷ 8 =
  37. 37.186937 ÷ 997 =
  38. 38.1082 ÷ 8 =
  39. 39.774078 ÷ 997 =
  40. 40.98424 ÷ 98 =

Answer key

  1. 806 rem 324
  2. 1099 rem 14
  3. 184 rem 1
  4. 903 rem 635
  5. 531 rem 87
  6. 1014 rem 67
  7. 566 rem 34
  8. 81 rem 431
  9. 759 rem 763
  10. 94 rem 50
  11. 677 rem 22
  12. 972 rem 620
  13. 754 rem 35
  14. 87 rem 55
  15. 793 rem 934
  16. 988 rem 304
  17. 78 rem 784
  18. 946 rem 925
  19. 723 rem 8
  20. 175 rem 86
  21. 125 rem 728
  22. 75 rem 778
  23. 127 rem 16
  24. 238 rem 318
  25. 474 rem 69
  26. 137 rem 57
  27. 265 rem 826
  28. 737 rem 80
  29. 305 rem 517
  30. 785 rem 856
  31. 413 rem 0
  32. 656 rem 483
  33. 769 rem 417
  34. 431 rem 588
  35. 387 rem 15
  36. 128 rem 3
  37. 187 rem 498
  38. 135 rem 2
  39. 776 rem 406
  40. 1004 rem 32

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