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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 894 · 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. 1.85961 ÷ 88 =
  2. 2.21997 ÷ 98 =
  3. 3.20780 ÷ 96 =
  4. 4.154592 ÷ 988 =
  5. 5.242586 ÷ 897 =
  6. 6.174430 ÷ 897 =
  7. 7.55142 ÷ 88 =
  8. 8.348840 ÷ 988 =
  9. 9.658633 ÷ 997 =
  10. 10.55199 ÷ 988 =
  11. 11.10185 ÷ 89 =
  12. 12.716054 ÷ 997 =
  13. 13.36094 ÷ 97 =
  14. 14.79949 ÷ 98 =
  15. 15.61256 ÷ 96 =
  16. 16.12807 ÷ 97 =
  17. 17.8837 ÷ 8 =
  18. 18.18845 ÷ 98 =
  19. 19.82142 ÷ 97 =
  20. 20.25275 ÷ 96 =
  21. 21.775202 ÷ 988 =
  22. 22.987723 ÷ 989 =
  23. 23.482193 ÷ 997 =
  24. 24.822506 ÷ 988 =
  25. 25.374929 ÷ 989 =
  26. 26.370288 ÷ 988 =
  27. 27.778583 ÷ 998 =
  28. 28.585 ÷ 8 =
  29. 29.59100 ÷ 97 =
  30. 30.80924 ÷ 89 =
  31. 31.17663 ÷ 89 =
  32. 32.871478 ÷ 989 =
  33. 33.629718 ÷ 998 =
  34. 34.42241 ÷ 98 =
  35. 35.3128 ÷ 88 =
  36. 36.87385 ÷ 96 =
  37. 37.690025 ÷ 988 =
  38. 38.202784 ÷ 989 =
  39. 39.46447 ÷ 97 =
  40. 40.536663 ÷ 988 =

Answer key

  1. 976 rem 73
  2. 224 rem 45
  3. 216 rem 44
  4. 156 rem 464
  5. 270 rem 396
  6. 194 rem 412
  7. 626 rem 54
  8. 353 rem 76
  9. 660 rem 613
  10. 55 rem 859
  11. 114 rem 39
  12. 718 rem 208
  13. 372 rem 10
  14. 815 rem 79
  15. 638 rem 8
  16. 132 rem 3
  17. 1104 rem 5
  18. 192 rem 29
  19. 846 rem 80
  20. 263 rem 27
  21. 784 rem 610
  22. 998 rem 701
  23. 483 rem 642
  24. 832 rem 490
  25. 379 rem 98
  26. 374 rem 776
  27. 780 rem 143
  28. 73 rem 1
  29. 609 rem 27
  30. 909 rem 23
  31. 198 rem 41
  32. 881 rem 169
  33. 630 rem 978
  34. 431 rem 3
  35. 35 rem 48
  36. 910 rem 25
  37. 698 rem 401
  38. 205 rem 39
  39. 478 rem 81
  40. 543 rem 179

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