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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 389 · 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. 1.19242 ÷ 96 =
  2. 2.175603 ÷ 897 =
  3. 3.43210 ÷ 97 =
  4. 4.707861 ÷ 988 =
  5. 5.6244 ÷ 8 =
  6. 6.967940 ÷ 989 =
  7. 7.444050 ÷ 997 =
  8. 8.875640 ÷ 998 =
  9. 9.1376 ÷ 88 =
  10. 10.54492 ÷ 98 =
  11. 11.300133 ÷ 997 =
  12. 12.65955 ÷ 98 =
  13. 13.27509 ÷ 98 =
  14. 14.355873 ÷ 998 =
  15. 15.156 ÷ 8 =
  16. 16.476526 ÷ 997 =
  17. 17.67626 ÷ 89 =
  18. 18.23377 ÷ 98 =
  19. 19.944826 ÷ 997 =
  20. 20.26366 ÷ 96 =
  21. 21.959922 ÷ 997 =
  22. 22.54579 ÷ 89 =
  23. 23.72215 ÷ 89 =
  24. 24.806 ÷ 8 =
  25. 25.21950 ÷ 96 =
  26. 26.15535 ÷ 96 =
  27. 27.15649 ÷ 89 =
  28. 28.380004 ÷ 897 =
  29. 29.11254 ÷ 96 =
  30. 30.241010 ÷ 998 =
  31. 31.25842 ÷ 88 =
  32. 32.883321 ÷ 897 =
  33. 33.45282 ÷ 88 =
  34. 34.552248 ÷ 897 =
  35. 35.867 ÷ 8 =
  36. 36.57565 ÷ 89 =
  37. 37.21515 ÷ 98 =
  38. 38.57035 ÷ 88 =
  39. 39.781562 ÷ 897 =
  40. 40.758375 ÷ 897 =

Answer key

  1. 200 rem 42
  2. 195 rem 688
  3. 445 rem 45
  4. 716 rem 453
  5. 780 rem 4
  6. 978 rem 698
  7. 445 rem 385
  8. 877 rem 394
  9. 15 rem 56
  10. 556 rem 4
  11. 301 rem 36
  12. 673 rem 1
  13. 280 rem 69
  14. 356 rem 585
  15. 19 rem 4
  16. 477 rem 957
  17. 759 rem 75
  18. 238 rem 53
  19. 947 rem 667
  20. 274 rem 62
  21. 962 rem 808
  22. 613 rem 22
  23. 811 rem 36
  24. 100 rem 6
  25. 228 rem 62
  26. 161 rem 79
  27. 175 rem 74
  28. 423 rem 573
  29. 117 rem 22
  30. 241 rem 492
  31. 293 rem 58
  32. 984 rem 673
  33. 514 rem 50
  34. 615 rem 593
  35. 108 rem 3
  36. 646 rem 71
  37. 219 rem 53
  38. 648 rem 11
  39. 871 rem 275
  40. 845 rem 410

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